(*内容类型:application/vnd.wolfram.mathematica*)(***Wolfram笔记本文件***)(*)http://www.wolfram.com/nb *)(*CreatedBy='Mathematica 11.1'*)(*CacheID:234*)(*内部缓存信息:笔记本文件断线测试笔记本文件断线测试笔记本数据位置[158,7]笔记本数据长度[617651840]笔记本选项位置[46397,1586]笔记本大纲位置[46824,1603]单元格标签索引位置[46781,1600]窗口框架->正常*)(*笔记本内容开头*)笔记本[{单元格[CellGroupData[{单元格[“Pell Number”,“Title”,表达式UUID->“13f6d1a9-662a-47f1-8e5a-a7f0226a938b”],单元格[CellGroupData[{单元格[“作者”,“小节”,表达式UUID->“ce5ad207-af7b-4fa2-ab66-6b03ee7e49d5”],单元格[“\<\埃里克·韦斯特因2021年12月18日\\>“,”文本“,表达式UUID->“59a4af29-ac88-4b1f-9720-09de0072586a”],单元格[TextData[{“此笔记本下载自”,按钮框[“http://mathworld.wolfram.com/notes/NumberTheory/PelNumber.nb",BaseStyle->“超链接”,按钮数据:>{URL[“http://mathworld.wolfram.com/notebooks/NumberTheory/PellNumber.nb"], 无}],"."}],“文本”,表达式UUID->“18008ac3-e2ae-47d9-9d5a-c4ac0c93a16c”],单元格[文本数据[{“有关更多信息,请参阅埃里克的”,StyleBox[“数学世界”,字体倾斜->“斜体”],“条目”,按钮框[“http://mathworld.wolfram.com/PellNumber.html",BaseStyle->“超链接”,按钮数据:>{URL[“http://mathworld.wolfram.com/PellNumber.html“],无}],"."}],“文本”,表达式UUID->“004d7c72-4b53-4734-a7ed-b93a47a15dbd”],单元格[“\<\\【版权所有】2021 Wolfram Research,Inc.,除非另有说明\\>“,”文本“,表达式UUID->“f0630bbd-7642-403e-896e-9a128297c2aa”]},打开]],单元格[CellGroupData[{单元格[“Pell Numbers”,“Section”,ExpressionUUID->“e9ac6ace-9926-4b29-b508-735911bb5c96”],单元格[CellGroupData[{单元格[BoxData[行框[{“完全简化”,“[”,行框[{行框[{“PellP”,“[”,“n”,“]”}],“,”,行框[{行框[{“n”,“\[Element]”,“Integers”}],“&&”,行框[{“n”,“>=”,“0”}]}],“]”}]],“输入”,表达式UUID->“9327e926-\b3b0-4290-9c5f-1f06cd0701f4“],单元格[BoxData[分数框[行框[{行框[{“-”,上标框[行框[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],”n“]}],“+”,上标框[RowBox[{“(”,行框[{“1”,“+”,SqrtBox[“2”]}],“)”}],”n“]}],RowBox[{“2”,“”,SqrtBox[“2”]}]],“输出”,表达式UUID->“2e8e5b04-3478-41f1-8933-\73df0c031113“]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{行框[{“表”,“[”,行框[{行框[{“PellP”,“[”,“n”,“]”}],“,”,行框[{“{”,行框[{“n”、“、”、“0”、“,”、“10”}]、“}”}]]、“]”}],“//”,“Simplify”}]],“Input”,表达式UUID->“8fef33c9-2fd7-4fd7-9959-\b2c46dbd7b79“],单元格[BoxData[行框[{“{”,行框[{"0", ",", "1", ",", "2", ",", "5", ",", "12", ",", "29", ",", "70", ",", “169”、“”、“408”、“,”、“985”、“、”、“2378”}]、“}”}]],“输出”,表达式UU\ID->“c4682b8e-200c-474e-a51e-961fea7facaf”]},打开]],单元格[CellGroupData[{单元格[“Sum”,“Subsection”,ExpressionUUID->“c673a46e-bb1d-46d8-acfe-2f602e24c044”],单元格[CellGroupData[{单元格[BoxData[行框[{RowBox[{“Sum”,“[”,行框[{行框[{行框[{“二项式”,“[”,行框[{“n”,“,”,行框[{行框[{“2”,“k”}],“+”,“1”}]}],”]“}],上标框[“2”,“k”]}],“,”,行框[{“{”,RowBox[{“k”,“,”,“0”,“,”,行框[{“Floor”,“[”,行框[{RowBox[{“(”,行框[{“n”,“-”,“1”}],“)“}],”/“,”2“}]、”]“}]}],“//”,“Simplify”}]],“Input”,表达式UUID->“443e45d5-b8ea-462b-866a-\03f35bcea602“],单元格[BoxData[分数框[行框[{行框[{“-”,上标框[行框[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],”n“]}],“+”,上标框[行框[{“(”,行框[{“1”,“+”,SqrtBox[“2”]}],“)”}],”n“]}],行框[{“2”,“”,SqrtBox[“2”]}]],“输出”,表达式UUID->“dec4f02b-f0a7-4631-bdd7-\55c870c3f6a4“]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“表”,“[”,行框[{行框[{“总和”,“[”,行框[{行框[{行框[{“二项式”,“[”,行框[{“n”,“,”,行框[{行框[{“2”,“k”}],“+”,“1”}]}],”]“}],上标框[“2”,“k”]}],“,”,行框[{“{”,行框[{“k”,“,”,“0”,“”,“,行框[{“Floor”,“[”,行框[{行框[{“(”,行框[{“n”,“-”,“1”}],“)“}],”/“,”2“}]、”]“}]}],“,”,行框[{“{”,行框[{“n”,“,”,“10”}],“}”}]}],”]“}]],“输入”,表达式UUID->\“30f73d48-d84c-4cb8-9a27-ce4ca7d85c33”],单元格[BoxData[行框[{“{”,行框[{"1", ",", "2", ",", "5", ",", "12", ",", "29", ",", "70", ",", "169", ",", “408”、“、”、“985”、“,”、“2378”}]、“}”}]]、“输出”、表达式UUID->\“8d26c773-df8c-440b-af50-20a4bb28c5f5”]},打开]]},打开]],单元格[CellGroupData[{单元格[“递归”,“子节”,表达式UUID->“aab45dd9-628c-427a-8895-6914c5b56352”],单元格[CellGroupData[{单元格[BoxData[行框[{“RSolve”,“[”,行框[{行框[{行框[{行框[{“P”,“[”,“n”,“]”}],“\[等于]”,行框[{行框[{“2”,行框[{“P”,“[”,行框[{“n”,“-”,“1”}],“]”}]],“+”,行框[{“P”,“[”,RowBox[{“n”,“-”,“2”}],“]”}]}]}],“&&”,行框[{行框[{“P”,“[”,“0”,“]”}],“\[Equal]”,“0}],”&&“,行框[{行框[{“P”,“[”,“1”,“]”}],“\[Equal]”,“1}]}],”,“,”,行框[{“P”,“[”,“n”,“]”}],“,”,“n”}]”}]],“输入”,表达式UUID->\“b22a7d52-c2bb-4a50-9a1a-9bcc879a4c0d”],单元格[BoxData[行框[{“{”,RowBox[{“{”,行框[{行框[{“P”,“[”,“n”,“]”}],“\[规则]”,RowBox[{“-”,分数框[行框[{上标框[行框[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],”n“],“-”,上标框[行框[{“(”,行框[{“1”,“+”,SqrtBox[“2”]}],“)”}],”n“]}],行框[{“2”,“”,SqrtBox[“2”]}]}]]}],“}”}],”}“}]],“输出”,表达式UUID->“3b92614e-\727b-423b-9892-9e25b11208cd“]},打开]]},打开]],单元格[CellGroupData[{单元格[“Primes”,“Subsection”,表达式UUID->“d358eacf-fc26-48db-a8d6-09d81afb5da1”],单元格[CellGroupData[{单元格[BoxData[行框[{行框[{行框[{“位置”,“[”,行框[{行框[{“ExpandAll”,“[”,行框[{“PellP”,“/@”,RowBox[{“Range”,“[”,“1000”,“]”}]}],“]”}],“,”,行框[{“_”,“?”,“PrimeQ”}]}],“]”}],“计时”}]],“输入”,表达式UUID->“8a3267cb-513c-4e41-8c8c-1c2cf6bf3c53”],单元格[BoxData[行框[{“{”,行框[{行框[{“56.280000000000015`”,“”,“第二”}],“,”,行框[{“{”,行框[{“2”,“,”,“3”,“,”,“5”,“,”,“11”,“,”,“13”,“,”,“29”,“,”,“41”,“,”,"53", ",", "59", ",", "89", ",", "97", ",", "101", ",", "167", ",", “181”,“,”,“191”\按UUID->“3ea1cf0e-7e57-4b2a-9f47-b2223021ee12”]},打开]],单元格[BoxData[行框[{行框[{“l”,“=”,行框[{“{”,行框[{"2", ",", "3", ",", "5", ",", "11", ",", "13", ",", "29", ",", "41", ",", "53", ",", "59", ",", "89", ",", "97", ",", "101", ",", "167", ",", "181", ",", "191", ",", "523", ",", "929", ",", "1217", ",", "1301", ",","1361", ",", "2087", ",", "2273", ",", "2393", ",", "8093", ",", "13339", ",", "14033", ",", "23747", ",", "28183", ",", "34429", ",", “36749”,“,”,“90197”}],“}”}]}],”;“}]],“输入”,表达式UUID->\“dc9907be-e1b4-41f9-a87c-d399a7246abd”],单元格[CellGroupData[{单元格[BoxData[行框[{“And”,“@@”,行框[{“PrimeQ”,“/@”,“l”}]],“输入”,表达式UUID->“c6242b3c-c341-\4b90-aa63-b107401e9fbc“],单元格[BoxData[“True”],“输出”,表达式UUID->“cf289f26-22e7-4627-b523-07d5814e4e41”]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“Do”,“[”,“\[IndentingNewLine]”,行框[{行框[{“打印”,“[”,RowBox[{“{”,行框[{“n”,“,”,行框[{“l”,“[”,行框[{“[”,“n”,“]”}],“]“}],”,“,”,行框[{“IntegerLength”,“[”,行框[{“p”,“=”,行框[{“ExpandAll”,“[”,行框[{“PellP”,“[”,行框[{“l”,“[”,RowBox[{“[”,“n”,“]”}],“]”}],“]”}],“]”}],“]”}],“,”,行框[{行框[{“PrimeQ”,“[”,“p”,“]”}],“//”,“Timing”}]],“}”}],“,”,“\[InditingNewLine]”,行框[{“{”,行框[{“n”,“,”,行框[{“长度”,“[”,“l”,“]”}]}],“}”}]],“]“}]]”,“输入”,表达式U\UID->“dae5a34c-ea0c-49b4-8c67-99aadb32f32a”],单元格[CellGroupData[{单元格[BoxData[行框[{“{”,行框[{“1”,“,”,“2”,“,行框[{“{”,行框[{“0.000011000000029071089`”,“,”,“True”}],“}”}]],“}”}]],“打印”,表达式UUID->“dbc6fb22-31ec-4f25-9128-c9ea704d281a”],单元格[BoxData[行框[{“{”,行框[{“2”,“,”,“3”,“,行框[{“{”,行框[{“5.0000000 15797923`*^-6”,“,”,“True”}],“}”}]],“{”}2]],“打印”\表达式UUID->“22515c37-5ee7-4c5c-88af-ec8eae9b0b54”],单元格[BoxData[行框[{“{”,行框[{“3”,“,”,“5”,“,行框[{“{”,行框[{“5.0000000 15797923`*^-6”,“,”,“True”}],“}”}]],“{”}2]],“打印”\表达式UUID->“066a4848-91f0-4959-bffe-463a11b4c20b”],单元格[BoxData[行框[{“{”,RowBox[{“4”,“,”,“11”,“,”,“4”,“,”,行框[{“{”,行框[{“3.9999999 89900971`*^-6”,“,”,“True”}],“}”}]],“{”}2]],“打印”\表达式UUID->“df517288-0a9f-47c7-8bec-e02264e13c32”],单元格[BoxData[行框[{“{”,行框[{“5”,“,”,“13”,“,行框[{“{”,行框[{“4.9999999 873762135`*^-6”,“,”,“True”}],“}”}]],“{”}]\表达UUID->“fd153d43-895d-4a86-a188-8640953f61ec”],单元格[BoxData[行框[{“{”,RowBox[{“6”,“,”,“29”,“,”,“11”,“,”,行框[{“{”,行框[{“0.000252999999986514`”,“,”,“True”}],“}”}]],“{”}4],“打印”,E\expressionUUID->“2a87f981-e45e-43c5-8cb8-396de561640c”],单元格[BoxData[行框[{“{”,行框[{“7”,“,”,“41”,“,行框[{“{”,行框[{“0.00012699999999199463`”,“,”,“True”}],“}”}]],“{”}4],“打印”\ExpressionUUID->“7cafe4ee-b83c-47a4-a586-007c02796bd4”],单元格[BoxData[行框[{“{”,行框[{“8”,“,”,“53”,“,行框[{“{”,行框[{“0.0002620000000206346`”,“,”,“True”}],“}”}]],“{”}2]],“打印”\表达式UUID->“bf925303-ed66-4729-bec8-8d32c05142b4”],单元格[BoxData[行框[{“{”,行框[{“9”,“,”,“59”,“,行框[{“{”,行框[{“0.0002729999999928623`”,“,”,“True”}],“}”}]],“{”}2]],“打印”\表达式UUID->“99220dbc-307d-4042-b407-44818c598d8d”],单元格[BoxData[行框[{“{”,行框[{“10”,“,”,“89”,“,行框[{“{”,RowBox[{“0.0005009999999856518`”,“,”,“True”}],“}”}]}],“}”}]],“打印”\表达式UUID->“1be346da-f4b5-4353-a210-9e80eb437760”],单元格[BoxData[行框[{“{”,行框[{“11”,“,”,“97”,“,行框[{“{”,行框[{“0.000536000000109721`”,“,”,“True”}],“}”}]],“{”}2]],“打印”\表达式UUID->“5d90e5a0-6530-427e-91cb-0c65b6cc75d7”],单元格[BoxData[RowBox[{“{”,行框[{“12”,“,”,“101”,“,行框[{“{”,RowBox[{“0.00059500000000412`”,“,”,“True”}],“}”}]}],“}”}]],“打印”,Ex\按UUID->“8c07731a-efe5-4ae1-9926-fdedc6e93eac”],单元格[BoxData[行框[{“{”,行框[{“13”,“,”,“167”,“,行框[{“{”,行框[{“0.0019719999999949778`”,“,”,“True”}],“}”}]],“{”}4],“打印”\表达式UUID->“c851d9c1-81d3-4cf5-8dec-eb5bd5834a96”],单元格[BoxData[行框[{“{”,行框[{“14”,“,”,“181”,“,行框[{“{”,行框[{“0.0016669999999976426`”,“,”,“True”}],“}”}]],“{”}4],“打印”\表达式UUID->“f9677f55-495d-47d2-aad8-02ab90135d67”],单元格[BoxData[行框[{“{”,行框[{“15”,“,”,“191”,“,行框[{“{”,行框[{“0.001773000000142354`”,“,”,“True”}],“}”}]],“{”}],“打印”\表达式UUID->“177cf23c-0ff2-422c-9aaa-d37b96d0fefc”],单元格[BoxData[行框[{“{”,行框[{“16”,“,”,“523”,“,行框[{“{”,行框[{“0.023668999999983953`”,“,”,“True”}],“}”}]],“{”}4],“打印”,E\expressionUUID->“7e65029d-9702-49f4-83ce-9bfdc121308d”],单元格[BoxData[行框[{“{”,行框[{“17”,“,”,“929”,“,行框[{“{”,行框[{“0.0428489999999897`”,“,”,“True”}],“}”}]]\表达式UUID->“eac5d6c5-e813-4ed7-b0a0-cf8ccfe907a0”],单元格[BoxData[行框[{“{”,行框[{“18”,“,”,“1217”,“,RowBox[{“{”,行框[{“0.035957000000024664`”,“,”,“True”}],“}”}]],“{”}2]],“打印”,E\expressionUUID->“2850826a-7b2d-4dd6-b38e-05e4d0812bc7”],单元格[BoxData[行框[{“{”,行框[{“19”,“,”,“1301”,“,行框[{“{”,行框[{“0.04106799999995664`”,“,”,“True”}],“}”}]],“{”}4],“打印”,E\expressionUUID->“039de8f9-aca8-4f75-a7e5-9a68c2021c07”],单元格[BoxData[行框[{“{”,行框[{“20”,“,”,“1361”,“,行框[{“{”,行框[{“0.048793000001763`”,“,”,“True”}],“}”}]],“{”}4],“打印”,示例\按UUID->“f745a2e8-821d-4a91-808c-527c0c7ddb38”],单元格[BoxData[行框[{“{”,行框[{“21”,“,”,“2087”,“,行框[{“{”,行框[{“0.126582999998235`”,“,”,“True”}],“}”}]],“{”}]],”打印“,示例\按UUID->“b4e98974-10f4-4fd2-ad5e-0ba6a0f63832”],单元格[BoxData[行框[{“{”,行框[{“22”,“,”,“2273”,“,行框[{“{”,行框[{“0.15376899999998273`”,“,”,“True”}],“}”}]],“{”}4],“打印”,示例\按UUID->“73131b70-21cf-4c37-9f57-c3ee4f1a3b29”],单元格[BoxData[行框[{“{”,RowBox[{“23”,“,”,“2393”,“,”,“916”,“,”,行框[{“{”,行框[{“0.174718000000128`”,“,”,“True”}],“}”}]]\表达式UUID->“5e617ec4-f4f2-4ae8-8d46-0d2b8e1c7c8d”],单元格[BoxData[行框[{“{”,行框[{“24”,“,”,“8093”,“,行框[{“{”,行框[{“4.09907100000009`”,“,”,“True”}],“}”}]]\会话UUID->“7e0c4b34-f7a5-4419-a6bc-9817dbf3d8fa”],单元格[BoxData[行框[{“{”,RowBox[{“25”,“,”,“13339”,“,”,“5106”,“,”,行框[{“{”,行框[{“15.07834699999998`”,“,”,“True”}],“}”}]],“{”}4],“打印”,表达式\essionUUID->“498e0d90-7168-4b7b-82ac-49351f5b49de”],单元格[BoxData[行框[{“{”,行框[{“26”,“,”,“14033”,“,行框[{“{”,行框[{“17.664465000000007`”,“,”,“True”}],“}”}]],“{”}2]],“打印”,Exp\新闻UUID->“619c93b9-c05a-47c2-9d7e-42d2fbd4c69c”],单元格[BoxData[行框[{“{”,行框[{“27”,“,”,“23747”,“,行框[{“{”,行框[{“66.51025700000002`”,“,”,“True”}],“}”}]],“{”}2]],“打印”,表达式\essionUUID->“bb41f1bc-376c-4874-ba6a-cefb4f440ca7”],单元格[BoxData[行框[{“{”,行框[{“28”,“,”,“28183”,“,行框[{“{”,行框[{“105.08754399999992`”,“,”,“True”}],“}”}]}],”}“}]],“打印”,Exp\表达式UUID->“5fb0798d-f3a5-4326-a16d-17b5d0c95d1e”],单元格[BoxData[行框[{“{”,行框[{“29”,“,”,“34429”,“,行框[{“{”,RowBox[{“172.02612900000003`”,“,”,“True”}],“}”}]}],“}”}]],“打印”,Exp\ressionUUID->“6c37c760-2fe8-412f-baec-3ece32ff8980”],单元格[BoxData[行框[{“{”,行框[{“30”,“,”,“36749”,“,行框[{“{”,行框[{“208.58816100000013`”,“,”,“True”}],“}”}]]\ressionUUID->“772596cb-1f84-4016-8acf-278be65bf3de”],单元格[BoxData[RowBox[{“{”,行框[{“31”,“,”,“90197”,“,行框[{“{”,RowBox[{“2063.115398`”,“,”,“True”}],“}”}]}],“}”}]],“打印”,表达式\UUID->“13f31044-cefd-42dc-82a9-9127804fa3dd”]},打开]]},打开]]},打开]]},打开]],单元格[CellGroupData[{单元格[“Pell-Lucas Numbers”,“Section”,表达式UUID->“5aa8cf05-a0aa-499f-aa4b-481be343a933”],单元格[BoxData[行框[{行框[{“PellQ”,“[”,“n_”,“]”}],“:=”,行框[{“LucasL”,“[”,行框[{“n”,“,”,“2”}],“]”}]],“输入”,表达式UUID->“8ca72e08-e02b-\4e18-b23d-ba860bde97f7“],单元格[CellGroupData[{单元格[BoxData[行框[{“完全简化”,“[”,行框[{行框[{“PellQ”,“[”,“n”,“]”}],“,”,行框[{行框[{“n”,“\[Element]”,“Integers”}],“&&”,行框[{“n”,“>=”,“0”}]}],“]”}]],“输入”,表达式UUID->“144a8629-\a3f9-462e-80e1-848ecd1202ba“],单元格[BoxData[行框[{上标框[RowBox[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],”n“],“+”,上标框[行框[{“(”,行框[{“1”,“+”,SqrtBox[“2”]}],“)“}],”n“]}]],“输出”,表达式UUID->“d6d6fd3f-f912-\4361-b11e-bc285f1296f4“]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“表”,“[”,行框[{行框[{“ExpandAll”,“[”,行框[{“PellQ”,“[”,“n”,“]”}],“]“}],”,“,”,行框[{“{”,行框[{“n”,“,”,“0”,“”,“20”}],“}”}]],“]”}]',“输入”,表达式UUI\D->“0372fcdc-f373-4912-ae67-643d1ec4e156”],单元格[BoxData[行框[{“{”,行框[{"2", ",", "2", ",", "6", ",", "14", ",", "34", ",", "82", ",", "198", ",", "478", ",", "1154", ",", "2786", ",", "6726", ",", "16238", ",", "39202", ",", "94642", ",", "228486", ",", "551614", ",", "1331714", ",", "3215042",“,”,“7761798”,“,”\ssionUUID->“c3badfcf-85ea-4849-a4ab-9b963ac30ff9”]},打开]],单元格[CellGroupData[{单元格[BoxData[表单框[行框[{行框[{“Q”,“(”,“n”,“)”}],“\[LongEqual]”,行框[{模板框[{行框[{“n”,“-”,“1”}],“2”},“斐波那契2”],“+”,模板框[{行框[{“n”,“+”,“1”}],“2”},“斐波那契2”]}]}],传统形式]],“小节”,表达式UUID->\“ce9c0625-7ce5-4ecf-87bc-7bcf5fb933b6”],单元格[CellGroupData[{单元格[BoxData[行框[{“表”,“[”,行框[{行框[{行框[{“斐波那契”,“[”,行框[{RowBox[{“n”,“-”,“1”}],“,”,“2”}],“]”}],“+”,行框[{“斐波那契”,“[”,行框[{RowBox[{“n”,“+”,“1”}],“,”,“2”}],“]”}]}],“,”,行框[{“{”,行框[{“n”,“,”,“0”,“”,“10”}],“}”}]],“]”}]',“输入”,表达式UUI\D->“999ad66e-546a-429f-8fea-a55873bbee5f”],单元格[BoxData[行框[{“{”,行框[{"2", ",", "2", ",", "6", ",", "14", ",", "34", ",", "82", ",", "198", ",", “478”、“、”、“1154”、“,”、“2786”、“”、“6726”}]、“}”}]],“输出”,表达式\UUID->“e8f706ee-2a93-4529-997b-b92570454553”]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“完全简化”,“[”,行框[{行框[{“斐波那契”,“[”,行框[{行框[{“n”,“-”,“1”}],“,”,“2”}],行框[{“斐波那契”,“[”,行框[{行框[{“n”,“+”,“1”}],“,”,“2”}]\UID->“f6fe888b-a92b-4ea0-a657-b0b977c13b1f”],单元格[BoxData[行框[{行框[{“斐波那契”,“[”,行框[{行框[{行框[{“-”,“1”}],“+”,“n”}],行框[{“斐波那契”,“[”,行框[{行框[{“1”、“+”、“n”}]、“,”、“2”}],“]”}]],“输出”,表达式UUID->\“bde1bdd1-9893-4413-bc85-4b556d003a06”]},打开]],单元格[CellGroupData[{单元格[BoxData[RowBox[{“FullSimplify”,“[”,行框[{行框[{“FunctionExpand”,“[”,行框[{行框[{“斐波那契”,“[”,行框[{行框[{“n”,“-”,“1”}],“,”,“2”}],行框[{“斐波那契”,“[”,行框[{行框[{“n”,“+”,“1”}],“,”,“2”}],行框[{“n”,“\[Element]”,“Integers”}]}],“]”}]],“Input”,表达式UUID->\“680eda2e-d771-4424-a319-74ad1ea14dac”],单元格[BoxData[行框[{上标框[行框[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],”n“],“+”,上标框[行框[{“(”,行框[{“1”,“+”,SqrtBox[“2”]}],“)“}],”n“]}]],“输出”,表达式UUID->“db36c0a4-7ea1-\48d9-a79f-c3bb1cfc21e0“]},打开]]},打开]],单元格[CellGroupData[{单元格[“递归”,“子节”,表达式UUID->“9c9f60c6-8a8f-49cd-96e6-eed8a4b27179”],单元格[CellGroupData[{单元格[BoxData[RowBox[{“RSolve”,“[”,行框[{行框[{行框[{行框[{“Q”,“[”,“n”,“]”}],“\[等于]”,行框[{行框[{“2”,行框[{“Q”,“[”,行框[{“n”,“-”,“1”}],“]”}]],“+”,RowBox[{“Q”,“[”,行框[{“n”,“-”,“2”}],“]”}]}],”&&“,行框[{RowBox[{“Q”,“[”,“0”,“]”}],“\[Equal]”,“2”}],“&&”,行框[{行框[{“Q”,“[”,“1”,“]”}],“\[等于]”,“2”}]],“,”,行框[{“Q”,“[”,“n”,“]”}],“,”,“n”}]”}]],“输入”,表达式UUID->\“f6edf182-4371-41ed-92c3-2b568698c062”],单元格[BoxData[行框[{“{”,行框[{“{”,行框[{行框[{“Q”,“[”,“n”,“]”}],“\[规则]”,行框[{上标框[行框[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],”n“],“+”,上标框[行框[{“(”,行框[{“1”,“+”,SqrtBox[“2”]}],“)“}],”n“]}]}]、”}“}]、“}”}]],“输出”,表达式UUI\D->“be5e840e-cafd-4a93-ac77-b19ba5033528”]},打开]]},打开]],单元格[CellGroupData[{单元格[“Sum”,“Subsection”,ExpressionUUID->“4e807fbb-8118-4d4c-be2e-38481af038b5”],单元格[CellGroupData[{单元格[BoxData[RowBox[{“Simplify”,“[”,行框[{行框[{“2”,行框[{“总和”,“[”,行框[{行框[{行框[{“二项式”,“[”,行框[{“n”,“,”,行框[{“2”,“k”}]}],“]”}],上标框[“2”,“k”]}],“,”,行框[{“{”,行框[{“k”,“,”,“0”,“”,“,RowBox[{“楼层”,“[”,行框[{“n”,“/”,“2”}],“]”}]}],行框[{行框[{“n”,“>”,“0”}],“&&”,行框[{“n”,“\[Element]”,“Integers”}]}],“]”}]],“Input”,表达式UUI\D->“210703f1-6d23-4c95-817e-fbd12dff0667”],单元格[BoxData[行框[{上标框[行框[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],”n“],“+”,上标框[行框[{“(”,行框[{“1”,“+”,SqrtBox[“2”]}],“)“}],”n“]}]],“输出”,表达式UUID->“9e9ca549-9958-\4a5d-b5a2-212b51707bdd“]},打开]]},打开]],单元格[CellGroupData[{单元格[“就新南威尔士州数字而言”,“小节”,表达式UUID->“2da801bf-858a-4b76-a71a-c4b5d3aaf7e2”],单元格[CellGroupData[{单元格[BoxData[行框[{行框[{“表”,“[”,行框[{FractionBox(分数框)[行框[{上标框[行框[{“(”,行框[{“1”,“+”,行框[{“Sqrt”,“[”,“2”,“]”}]}],“)”}],行框[{“(”,行框[{行框[{“2”、“n”}]、“-”、“1”}],“)”}]],“+”,上标框[行框[{“(”,行框[{“1”,“-”,RowBox[{“Sqrt”,“[”,“2”,“]”}]}],“)”}],行框[{“(”,行框[{行框[{“2”,“n”}],“-”,“1”}],行框[{“{”,行框[{“n”,“,”,“10”}],“}”}]],“]”}]\会话UUID->“9b8cbb28-6553-484e-bfd9-ffec6bb170cb”],单元格[BoxData[行框[{“{”,行框[{"1", ",", "7", ",", "41", ",", "239", ",", "1393", ",", "8119", ",", “47321”、“、”、“275807”、“,”、“1607521”、“”、“9369319”}]、“}”}]],“输出”\表达式UUID->“cef55198-9933-4bb8-98b2-45809f30f712”]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{行框[{“2”,行框[{“表”,“[”,行框[{分数框[行框[{上标框[行框[{“(”,行框[{“1”,“+”,行框[{“Sqrt”,“[”,“2”,“]”}]}],“)”}],RowBox[{“(”,行框[{行框[{“2”、“n”}]、“-”、“1”}],“)”}]],“+”,上标框[行框[{“(”,行框[{“1”,“-”,行框[{“Sqrt”,“[”,“2”,“]”}]}],“)”}],行框[{“(”,行框[{RowBox[{“2”,“n”}],“-”,“1”}],“)”}]]}],“2”],“,”,行框[{“{”,行框[{“n”,“,”,“10”}],“}”}]}],”]“}]}],”//“,”展开“}]],“输入”,E\expressionUUID->“abe0cdb8-49e9-4d99-b10c-b1de8d0703be”],单元格[BoxData[行框[{“{”,行框[{"2", ",", "14", ",", "82", ",", "478", ",", "2786", ",", "16238", ",", “94642”、“、”、“551614”、“,”、“3215042”、“”、“18738638”}]、“}”}]],“输出”\表达式UUID->“3a1c196f-f3b6-4c0e-b356-7a1e9a46c638”]},打开]]},打开]],单元格[CellGroupData[{单元格[“Primes”,“Subsection”,表达式UUID->“8eaa9e0b-a1e8-48ce-8639-f21ce211c186”],单元格[TextData[ButtonBox[“A099088”,BaseStyle->“超链接”,按钮数据->{URL[“https://oeis.org/A099088“],无},按钮注释->“https://oeis.org/A099088“]],”文本“,表达式UUID->”704b710b-\6212-4e99-81b7-b94aeb2c2354“],单元格[CellGroupData[{单元格[BoxData[行框[{行框[{行框[{“位置”,“[”,行框[{行框[{“ExpandAll”,“[”,行框[{“PellQ”,“/@”,行框[{“范围”,“[”,“1000”,“]”}]}],“]“}],”,“,”,行框[{“_”,“?”,“PrimeQ”}]}],“]”}],“定时”}]],“输入”,表达式UUID->“28a74c10-4cea-49d3-a4bf-d237268b55fc”],单元格[BoxData[行框[{“{”,行框[{RowBox[{“44900000000000006`”,“”,“Second”}],“,”,行框[{“{”,“1”,“}”}]}],“}”}]],“输出”,表达式UUID->“33a94c0b-8061-\4db7-9f6c-b6128221d6fd“]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{行框[{行框[{“位置”,“[”,行框[{行框[{行框[{“ExpandAll”,“[”,行框[{“PellQ”,“/@”,行框[{“范围”,“[”,“1000”,“]”}]}],“]“}],”/“,”2“}]”,“,”,行框[{“_”,“?”,“PrimeQ”}]}],“]”}],“定时”}]],“输入”,表达式UUID->“f267a635-03fb-4eff-854d-4e4e6816b581”],单元格[BoxData[行框[{“{”,行框[{行框[{“51.2300000000002`”,“”,“第二”}],“,”,行框[{“{”,行框[{"2", ",", "3", ",", "4", ",", "5", ",", "7", ",", "8", ",", "16", ",", "19", ",", "29", ",", "47", ",", "59", ",", "163", ",", "257", ",", “421”、“、”、“937”、“,”、“947”}]、“}”}]}]、”}“}]],“输出”,表达式UUID\->“89f65caf-e86a-4626-accc-4e80c6abf228”]},打开]],单元格[BoxData[行框[{RowBox[{“l”,“=”,行框[{“{”,行框[{"2", ",", "3", ",", "4", ",", "5", ",", "7", ",", "8", ",", "16", ",", "19", ",", "29", ",", "47", ",", "59", ",", "163", ",", "257", ",", "421", ",", "937", ",", "947", ",", "1493", ",", "1901", ",", "6689", ",", "8087", ",", "9679", ",", "28753", ",", "79043", ",", "129127", ",","145969", ",", "165799", ",", "168677", ",", "170413", ",", "172243", “,”,“278321”}],“}”}]}],”;“}]],“输入”,单元格标签->“在[197]中:=”,ExpressionUUID->“88b352a8-0484-498e-b8cb-09d19d509ae5”],单元格[CellGroupData[{单元格[BoxData[行框[{“长度”,“[”,“l”,“]”}]],“输入”,单元格标签->“在[198]中:=”,ExpressionUUID->“3e24d8a1-259a-45a6-abcb-5aae57ab0ed”],单元格[BoxData[“30”],“输出”,单元格标签->“输出[198]=”,表达式UUID->“7dca74f0-837c-4211-8166-c98466ab9587”]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“TextGrid”,“[”,行框[{行框[{“映射索引”,“[”,行框[{行框[{行框[{“{”,行框[{行框[{“#2”,“[”,行框[{“[”,“1”,“]”}],“]“}],”,“,”,”#“,”,行框[{“IntegerLength”,“[”,行框[{“PellQ”,“[”,“#”,“]”}],“]“}]}]”}“}],”&“}]”,“,”,“l”}],"]"}], ",", 行框[{“Dividers”,“->”,“All”}],“,”,行框[{“Alignment”,“->”,“Decimal”}]}],“]”}]],“Input”,单元格标签->“在[209]中:=”,ExpressionUUID->“c8bc51a5-ac93-407d-8e64-a2c93d32b4cb”],单元格[BoxData[标记框[GridBox[{{"1", "2", "1"},{"2", "3", "2"},{"3", "4", "2"},{"4", "5", "2"},{"5", "7", "3"},{"6", "8", "4"},{"7", "16", "7"},{“8”、“19”、“8”},{"9", "29", "12"},{"10", "47", "18"},{“11”、“59”、“23”},{"12", "163", "63"},{"13", "257", "99"},{"14", "421", "162"},{"15", "937", "359"},{"16", "947", "363"},{"17", "1493", "572"},{"18", "1901", "728"},{"19", "6689", "2561"},{"20", "8087", "3096"},{"21", "9679", "3705"},{"22", "28753", "11006"},{"23", "79043", "30256"},{"24", "129127", "49427"},{"25", "145969", "55874"},{"26", "165799", "63464"},{"27", "168677", "64566"},{"28", "170413", "65230"},{"29", "172243", "65931"},{"30", "278321", "106535"}},自动删除->假,GridBoxAlignment->{“Columns”->{十进制}},“Rows”->{{Decimal}}},GridBoxDividers->{“Columns”->{True}},“Rows”->{True{}}},GridBoxItemSize->{“列”->{{Automatic}},“行”->}{Automatic}}],“文本网格”]],“输出”,单元格标签->“输出[209]=”,ExpressionUUID->“81b50963-efed-412c-ac57-8014da96ba5f”]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“选择”,“[”,行框[{行框[{行框[{“(”,行框[{“l”,“-”,“1”}],“)”}],“]”}]],“输入”,ExpressionUUID->“8ce95c76-d3a4-49a8-94bb-0989fa1d32c3”],单元格[BoxData[行框[{“{”,行框[{"1", ",", "2", ",", "3", ",", "9", ",", "14", ",", "23", ",", "29", ",", "81", ",", "128", ",", "210", ",", "468", ",", "473", ",", "746", ",", "950", ",", "3344", ",", "4043", ",", "4839", ",", "14376", ",", "39521", ",", "64563", ",", "72984", ",", "82899", ",", "84338", ",", "85206", ",", “86121”}],“}”}]],“输出”,表达式UUID->“3ed5c6b5-8429-4644-89ab-\ba158460edeb“]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“And”,“@@”,行框[{“(”,行框[{行框[{行框[{“(”,行框[{行框[{“PrimeQ”,“[”,“#”,“]”}],“||”,行框[{“整数Q”,“[”,行框[{“日志”,“[”,行框[{“2”,“,”,“#”}],“]”}],“)”}]}]],“输入”,表达式UUID->“9ed1e538-684b-4cab-83f1-a51fea3b2db9”],单元格[BoxData[“True”],“输出”,表达式UUID->“9f11b08d-98d2-4c22-9d92-d4d03a2a70fb”]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“Do”,“[”,“\[IndentingNewLine]”,行框[{行框[{“打印”,“[”,行框[{“{”,行框[{“n”,“,”,行框[{“l”,“[”,行框[{“[”,“n”,“]”}],“]“}],”,“,”,行框[{“IntegerLength”,“[”,行框[{“q”,“=”,行框[{RowBox[{“ExpandAll”,“[”,行框[{“PellQ”,“[”,行框[{“l”,“[”,RowBox[{“[”,“n”,“]”}],“]”}],“]”}],“]”}],“/”,“2”}]}],“]”}],",", 行框[{行框[{“PrimeQ”,“[”,“q”,“]”}],“//”,“Timing”}]],“}”}],“,”,“\[IndentingNewLine]”,行框[{“{”,行框[{“n”,“,”,行框[{“长度”,“[”,“l”,“]”}]}],“}”}]],“]“}]]”,“输入”,表达式U\UID->“d3e03f52-c502-40cd-bc81-66ef9aae70a3”],单元格[CellGroupData[{单元格[BoxData[行框[{“{”,行框[{“1”,“,”,“2”,“,行框[{“{”,行框[{“0.0004210000000028913`”,“,”,“True”}],“}”}]],“{”}],“打印”\表达式UUID->“523a630e-65b9-4e3a-9d0c-f00ed04b06c6”],单元格[BoxData[行框[{“{”,行框[{“2”,“,”,“3”,“,行框[{“{”,行框[{“0.000011999999998124622`”,“,”,“True”}],“}”}]],“}”}]],“打印”,表达式UUID->“0010fb95-15a8-4d8f-a82d-88ce8ead16de”],单元格[BoxData[行框[{“{”,行框[{“3”,“,”,“4”,“,行框[{“{”,RowBox[{“0.002858999999972804`”,“,”,“True”}],“}”}]}],“}”}]],“打印”\表达式UUID->“2ab3230c-6246-4081-b6d7-5216b0e3249e”],单元格[BoxData[行框[{“{”,行框[{“4”,“,”,“5”,“,行框[{“{”,行框[{“5.999999999 062311`*^-6”,“,”,“True”}],“}”}]],“{”}],“打印”\表达式UUID->“c1b872e6-8635-4c41-87bb-89db3318889f”],单元格[BoxData[RowBox[{“{”,行框[{“5”,“,”,“7”,“,行框[{“{”,RowBox[{“5.0000000000 1587068`*^-6”,“,”,“True”}],“}”}]}],“}”}]],“打印”\表达式UUID->“33d1ed52-4c08-4c97-a39e-10e85e6dabb0”],单元格[BoxData[行框[{“{”,行框[{“6”,“,”,“8”,“,行框[{“{”,行框[{“4.0000000000559112`*^-6”,“,”,“True”}],“}”}]]\表达式UUID->“8ae139dc-a252-4df4-9348-d955792b8648”],单元格[BoxData[行框[{“{”,行框[{“7”,“,”,“16”,“,行框[{“{”,行框[{“4.0000000000559112`*^-6”,“,”,“True”}],“}”}]]\表达式UUID->“01d69bd4-93b8-4fc9-87aa-80a2b1a0772c”],单元格[BoxData[行框[{“{”,行框[{“8”,“,”,“19”,“,行框[{“{”,行框[{“8.99999999 8593466`*^-6”,“,”,“True”}],“}”}]],“{”}4],“打印”\表达式UUID->“6d941269-55b0-424d-a3cd-f4e0c74e2aa1”],单元格[BoxData[行框[{“{”,行框[{“9”,“,”,“29”,“,行框[{“{”,行框[{“0.0001410000000028333`”,“,”,“True”}],“}”}]],“{”}],“打印”\表达式UUID->“979e0d9b-6c4a-4cc8-880f-0bc154ac3bf0”],单元格[BoxData[行框[{“{”,行框[{“10”,“,”,“47”,“,行框[{“{”,行框[{“0.00012199999999751299`”,“,”,“True”}],“}”}]],“{”}4],“打印”\表达式UUID->“2e56e524-34bd-45ed-981a-19b13b5463ac”],单元格[BoxData[行框[{“{”,行框[{“11”,“,”,“59”,“,RowBox[{“{”,行框[{“0.0003650000000000216914`”,“,”,“True”}],“}”}]],“{”}2]],“打印”\表达式UUID->“bb5f231b-4901-4845-ac8b-d8d78357aca2”],单元格[BoxData[行框[{“{”,行框[{“12”,“,”,“163”,“,行框[{“{”,行框[{“0.001452000000000453`”,“,”,“True”}],“}”}]],“{”}4],“打印”,E\expressionUUID->“75817e52-17ef-433f-bb20-267ffa787b7f”],单元格[BoxData[行框[{“{”,行框[{“13”,“,”,“257”,“,行框[{“{”,行框[{“0.0035850000000010596`”,“,”,“True”}],“}”}]],“{”}4],“打印”\表达式UUID->“934f2935-66b0-4963-80bc-009f71cc8257”],单元格[BoxData[行框[{“{”,行框[{“14”,“,”,“421”,“,行框[{“{”,行框[{“0.015952000000002187`”,“,”,“True”}],“}”}]],“{”}2]],“打印”,E\expressionUUID->“2e22428d-55a4-4e70-af9e-318949aab968”],单元格[BoxData[行框[{“{”,行框[{“15”,“,”,“937”,“,行框[{“{”,行框[{“0.0487430000000000176`”,“,”,“True”}],“}”}]],“{”}2]],“打印”,示例\按UUID->“c1f1002c-1a8c-4b8b-b123-7d6e1c0d675d”],单元格[BoxData[行框[{“{”,RowBox[{“16”,“,”,“947”,“,”,“363”,“,”,行框[{“{”,行框[{“0.021211999999998454`”,“,”,“True”}],“}”}]],“{”}4],“打印”,E\expressionUUID->“c828ba72-71b5-48b7-93b1-33d5716cbb55”],单元格[BoxData[行框[{“{”,行框[{“17”,“,”,“1493”,“,行框[{“{”,行框[{“0.05567000000277`”,“,”,“True”}],“}”}]],“{”}2]],“打印”,示例\按下UUID->“6965f67f-a9d1-419d-83a7-7f976f3998c8”],单元格[BoxData[行框[{“{”,RowBox[{“18”,“,”,“1901”,“,”,“728”,“,”,行框[{“{”,行框[{“0.1026229999999769`”,“,”,“True”}],“}”}]],“{”}],“打印”,示例\按UUID->“dee652da-c2c8-4ac5-8e5b-70c20797a500”],单元格[BoxData[行框[{“{”,行框[{“19”,“,”,“6689”,“,行框[{“{”,行框[{“2.606068000000005`”,“,”,“True”}],“}”}]],“{”}2]],“打印”,Exp\新闻UUID->“95e056af-d201-4ab0-9ea2-556f7a7731ff”],单元格[BoxData[行框[{“{”,行框[{“20”,“,”,“8087”,“,行框[{“{”,行框[{“4.263911`”,“,”,“True”}],“}”}]],“{”}4],“打印”,表达式UUI\D->“44f55c4a-2913-43f1-8d7f-bb45d248be6a”],单元格[BoxData[行框[{“{”,行框[{“21”,“,”,“9679”,“,行框[{“{”,行框[{“6.7472689999996`”,“,”,“True”}],“}”}]],“{”}4],“打印”,表达式\essionUUID->“4d98eac2-fca1-4767-81d3-647830f7befb”],单元格[BoxData[行框[{“{”,行框[{“22”,“,”,“28753”,“,行框[{“{”,RowBox[{“112.68917099999999`”,“,”,“True”}],“}”}]}],“}”}]],“打印”,Exp\表达式UUID->“2e759a57-bfe4-4d14-bd63-028f01f0d99b”],单元格[BoxData[行框[{“{”,行框[{“23”,“,”,“79043”,“,行框[{“{”,行框[{“1519.142948`”,“,”,“True”}],“}”}]],“{”}2]],“Print”,表达式\UUID->“09748bf5-c12c-44aa-9840-48c14b71bd48”],单元格[BoxData[RowBox[{“{”,行框[{“24”,“,”,“129127”,“,行框[{“{”,RowBox[{“5190.596785`”,“,”,“True”}],“}”}]}],“}”}]],“打印”,表达式\UUID->“18982e2d-dd6c-46cc-a74e-21d34d6d927”],单元格[BoxData[行框[{“{”,行框[{“25”,“,”,“145969”,“,行框[{“{”,行框[{“7210.876231000002`”,“,”,“True”}],“}”}]],“{”}4],“打印”,表达式\essionUUID->“cb482a88-e251-4882-882c-64020ce2919a”],单元格[BoxData[行框[{“{”,行框[{“26”,“,”,“165799”,“,行框[{“{”,行框[{“9847.188693`”,“,”,“True”}],“}”}]],“{”}]],”打印“,表达式\UUID->“5039c329-65ba-460a-8fb1-d318314dcfac”]},打开]]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“Do”,“[”,“\[IndentingNewLine]”,行框[{行框[{“打印”,“[”,行框[{“{”,行框[{“n”,“,”,行框[{“l”,“[”,行框[{“[”,“n”,“]”}],“]“}],”,“,”,行框[{RowBox[{“PrimeQ”,“[”,行框[{行框[{“ExpandAll”,“[”,行框[{“PellQ”,“[”,行框[{“l”,“[”,行框[{“[”,“n”,“]”}],“]“}],”]“}],”】“}]”,“/”,“2”}]、“]”{],“//”,“计时”}]}],“}”}],”]“}]”,“,”,“\[IndentingNewLine]”,行框[{“{”,行框[{“n”,“,”,RowBox[{“Length”,“[”,“l”,“]”}]}],“}”}]}],“]”}]],“Input”,ExpressionU\UID->“258ceedd-2f06-4b03-b6a5-e939d1be9163”],单元格[CellGroupData[{单元格[BoxData[行框[{“{”,行框[{“27”,“,”,“168677”,“”,“,行框[{“{”,行框[{行框[{“32919.175093000005`”,“”,“第二个”}],“,”,“真”}]、“}”}]],“}”}]],“打印”,表达式UUID->“8aeb0a23d-28f-42f1-aefa-bfb06f4d6347”],单元格[BoxData[行框[{“{”,行框[{“28”,“,”,“170413”,“”,“,行框[{“{”,行框[{行框[{“33630.2278629999986`”,“”,“第二个”}],“,”,“True”}]、“}”}]],“}”}]],“打印”,表达式UUID->“ff45081a-171f-40ec-9170-3ac90b8d02a5”],单元格[BoxData[行框[{“{”,行框[{“29”,“,”,“172243”,“”,“,行框[{“{”,行框[{“29651.96`”,“,”,“True”}],“}”}]],“{”}4],“打印”,表达式UUI\D->“af795a54-3f09-424f-a883-54ca206f0f4d”]},打开]]},打开]]},打开]]},打开]],单元格[CellGroupData[{单元格[“关系”,“节”,表达式UUID->“65a07819-efea-494a-afb7-ac888ba566bb”],单元格[BoxData[{行框[{行框[{“PellP”,“[”,“n_”,“]”}],“:=”,分数框[行框[{行框[{“-”,上标框[行框[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],“n”]}],“+”,上标框[行框[{“(”,RowBox[{“1”,“+”,SqrtBox[“2”]}],“)”}],”n“]}],行框[{“2”,“”,SqrtBox[“2”]}]}],“\[IndentingNewLine]”,行框[{行框[{“PellQ”,“[”,“n_”,“]”}],“:=”,行框[{上标框[行框[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],”n“],“+”,上标框[行框[{“(”,行框[{“1”,“+”,SqrtBox[“2”]}],“)“}],”n“]}]}]],“输入”,表达式UUID->“cea2695b-\9c12-486e-822b-219dcfb8297c“],单元格[CellGroupData[{单元格[BoxData[表单框[行框[{行框[{“P”,“(”,行框[{“n”,“”,上标框[“2”,“s”]}],“)”}],”\[LongEqual]“,行框[{行框[{“P”,“(”,“n”,“)”}],“”,行框[{UnderoverscriptBox[“\[Product]”,行框[{“j”,“=”,“0”}],行框[{“s”,“-”,“1”}],行框[{“Q”,“(”,行框[{上标框[“2”,“j”],“”,“n”}],“)”}]}]}],传统形式]],“子节”,表达式UUID->“21d94f24-d878-47d3-9020-\616332d6c1c0“],单元格[CellGroupData[{单元格[BoxData[行框[{“产品”,“[”,行框[{RowBox[{“PellQ”,“[”,行框[{行框[{“2”,“^”,“j”}],“*”,“n”}],行框[{“{”,行框[{“j”,“,”,“0”,“”,“,行框[{“s”,“-”,“1”}]}],“}”}]],“]”}]',“输入”,表达式UUID->\“38a71307-5131-4a39-8e25-77aae6f17f18”],单元格[BoxData[行框[{UnderoverscriptBox[“\[Product]”,行框[{“j”,“=”,“0”}],行框[{行框[{“-”,“1”}],“+”,“s”}]],行框[{“(”,行框[{上标框[行框[{“(”,行框[{“1”,“-”,SqrtBox[“2”]}],“)”}],行框[{上标框[“2”,“j”],“”,“n”}]],“+”,上标框[行框[{“(”,行框[{“1”,“+”,SqrtBox[“2”]}],“)”}],行框[{SuperscriptBox[“2”,“j”],“”,“n”}]]}],“)”}]]}]],“输出”,表达式UU\ID->“112a5f59-c47f-457d-aa71-5a358ac818dc”]},打开]],单元格[CellGroupData[{单元格[BoxData[行框[{“产品”,“[”,行框[{行框[{行框[{“斐波那契”,“[”,行框[{行框[{行框[{RowBox[{“2”,“^”,“j”}],“*”,“n”}],“-”,“1”}],“,”,“2”}],“]”}],"+", 行框[{“斐波那契”,“[”,行框[{行框[{行框[{行框[{“2”,“^”,“j”}],“*”,“n”}],",", 行框[{“{”,行框[{“j”,“,”,“0”,“”,“,行框[{“s”,“-”,“1”}]}],“}”}]],“]”}]',“输入”,表达式UUID->\“eabe5116-697f-4465-bf1d-55b0c08baf58”],单元格[BoxData[行框[{UnderoverscriptBox[“\[Product]”,行框[{“j”,“=”,“0”}],行框[{行框[{“-”,“1”}],“+”,“s”}]],行框[{“(”,行框[{行框[{“斐波那契”,“[”,行框[{行框[{行框[{“-”,“1”}],“+”,行框[{上标框[“2”,“j”],“”,“n”}]}],“,”,“2”}],RowBox[{“Fibonacci”,“[”,行框[{行框[{“1”,“+”,行框[{上标框[“2”,“j”],“”,“n”}]}],“,”,“2”}],”]“}]}],“)”}]}]],“输出”,表达式UUID->“fcebef8f-3866-4fb7-9a4e-dbcf357d1969”]},打开]],单元格[CellGroupData[{单元格[BoxData[RowBox[{“FullSimplify”,“[”,行框[{“表”,“[”,行框[{行框[{行框[{“PellP”,“[”,行框[{行框[{“2”,“^”,“s”}],“*”,“n”}],行框[{行框[{“PellP”,“[”,“n”,“]”}],“*”,行框[{“产品”,“[”,行框[{行框[{“PellQ”,“[”,行框[{行框[{“2”,“^”,“j”}],“*”,“n”}],行框[{“{”,行框[{“j”,“,”,“0”,“”,“,行框[{“s”,“-”,“1”}]}],“}”}]],“]”}]]}],行框[{“{”,行框[{“n”、“、”、“0”、“,”、“7”}]、“}”}],“,”,行框[{“{”,行框[{“s”、“”、“0”、“,”、“4”}]、“}”}]]、“]”}],“]”{]],“Input”,Expres\sionUUID->“82e81bd1-20c2-492a-a517-ae57f99fdec4”],单元格[BoxData[行框[{“{”,行框[{行框[{“{”,行框[{“真”,“,”,“真”,"}"}], ",", 行框[{“{”,RowBox[{“True”,“,”,“True”,“,”,“True”,“,”,“True”,“,”,“True”}],"}"}], ",", 行框[{“{”,行框[{“真”,“,”,“真”,"}"}], ",", 行框[{“{”,行框[{“真”,“,”,“真”,"}"}], ",", 行框[{“{”,RowBox[{“True”,“,”,“True”,“,”,“True”,“,”,“True”,“,”,“True”}],"}"}], ",", 行框[{“{”,RowBox[{“True”,“,”,“True”,“,”,“True”,“,”,“True”,“,”,“True”}],"}"}], ",", 行框[{“{”,行框[{“真”,“,”,“真”,"}"}], ",", 行框[{“{”,行框[{“真”,“,”,“真”,“}”}]}],“}“}]],“输出”,表达式UUID->“80f85777-0678-45d6-afa9-\08fa24a9ee8d“]},打开]]},打开]],单元格[CellGroupData[{单元格[BoxData[表单框[行框[{上标框[行框[{“Q”,“(”,“n”,“)”}],“2”],“\[LongEqual]”,行框[{“4”,“”,行框[{“(”,行框[{行框[{“2”,“”,上标框[行框[{“P”,“(”,“n”,“)”}],“2”]}],”+“,上标框[行框[{“(”,行框[{“-”,“1”}],“)”}],传统形式]],“小节”,表达UUID->“7a656f1e-955e-4750-9cbf-\5e82df21c530“],单元格[CellGroupData[{单元格[BoxData[行框[{行框[{“完全简化”,“[”,行框[{“表”,“[”,行框[{行框[{“减法”,“@@”,RowBox[{“{”,行框[{行框[{RowBox[{“PellQ”,“[”,“n”,“]”}],“^”,“2”}],“,”,行框[{“4”,“*”,行框[{“(”,行框[{行框[{“2”,“*”,行框[{行框[{“PellP”,“[”,“n”,“]”}],“^”,“2”}]],“+”,行框[{行框[{“(”,行框[{“-”,“1”}],“)”}],行框[{“{”,行框[{“n”、“、”、“0”、“,”、“20”}]、“}”}]]、“]”}],“]”{],“\n”}]],“输入”,表达式UUID->“defeaab0-6bfc-46f4-a82f-856df2100a70”],单元格[BoxData[行框[{“{”,行框[{"0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", “0”,“,”,“0”\expressionUUID->“33a23848-ded0-4f6d-8d54-2ae3934ea120”]},打开]]},打开]],单元格[CellGroupData[{单元格[BoxData[表单框[行框[{RowBox[{“Q”,“(”,行框[{“2”、“”、“n”}]、“)”}],“\[LongEqual]”,行框[{上标框[行框[{“Q”,“(”,“n”,“)”}],“2”],“-”,行框[{“2”,“”,上标框[行框[{“(”,行框[{“-”、“1”}]、“)”}],“n”]}]}],传统格式]],“子节”\表达UUID->“acd3eeaf-a852-4750-83f7-2d647f6cbd82”],单元格[CellGroupData[{单元格[BoxData[RowBox[{“FullSimplify”,“[”,行框[{“表”,“[”,行框[{行框[{“减法”,“@@”,行框[{“{”,行框[{行框[{“PellQ”,“[”,行框[{“2”、“*”、“n”}]、“]”}],“,”,行框[{“(”,行框[{行框[{行框[{“PellQ”、“[”、“n”、“]”}]、“^”、“2”}],“-”,行框[{“2”,“*”,行框[{行框[{“(”,行框[{“-”,“1”}],“)”}],行框[{“{”,行框[{“n”,“,”,“0”,“\ssionUUID->“48b97429-0dd4-48a9-9c05-b8be9525f47e”],单元格[BoxData[行框[{“{”,行框[{"0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", “0”,“,”,“0”\expressionUUID->“4ab577fb-6a79-422b-b8b8-c4a0d4677a39”]},打开]]},打开]]},打开]]},打开]]},自动生成的包->无,窗口大小->{837,823},窗口边距->{{-1217,自动},{自动,0}},FrontEndVersion->“13.1 for Mac OS X x86(64位)(2021年12月15日)”,样式定义->“Default.nb”,表达式UUID->“4aa30cb-9ef1-4266-917a-f45ea8e29f”](*笔记本内容结束*)(*内部缓存信息*)(*单元格标记输出单元格标签索引->{}*)(*单元格标签索引单元格标签索引->{}*)(*笔记本文件大纲笔记本[{单元格[CellGroupData[{单元格[580,22,83,0,98,“标题”,表达式UUID->“13f6d1a9-662a-47f1-8e5a-a7f0226a938b”],单元格[CellGroupData[{单元格[688,26,83,0,54,“子节”,表达式UUID->“ce5ad207-af7b-4fa2-ab66-6b03ee7e49d5”],单元格[774,28,114,3,58,“文本”,表达式UUID->“59a4af29-ac88-4b1f-9720-09de0072586a”],单元格[891,33,335,8,35,“文本”,表达式UUID->“18008ac3-e2ae-47d9-9d5a-c4ac0c93a16c”],单元格[1229,43,350,10,35,“文本”,表达式UUID->“004d7c72-4b53-4734-a7ed-b93a47a15dbd”],单元格[1582,55,154,2,35,“文本”,表达式UUID->“f0630bbd-7642-403e-896e-9a128297c2aa”]},打开]],单元格[CellGroupData[{单元格[1773,62,86,0,67,“节”,表达式UUID->“e9ac6ace-9926-4b29-b508-735911bb5c96”],单元格[CellGroupData[{单元格[1884,66,270,7,30,“输入”,表达式UUID->“9327e926-b3b0-4290-9c5f-1f06cd0701f4”],单元格[2157,75,371,14,61,“输出”,表达式UUID->“2e8e5b04-3478-41f1-8933-73df0c031113”]},打开]],单元格[CellGroupData[{单元格[2565,94,269,8,30,“输入”,表达式UUID->“8fef33c9-2fd7-4fd7-9959-b2c46dbd7b79”],单元格[2837,104,239,5,34,“输出”,表达式UUID->“c4682b8e-200c-474e-a51e-961fea7facaf”]},打开]],单元格[CellGroupData[{细胞[3113,114,80,0,54,“子节”,表达UUID->“c673a46e-b1d-46d8-acfe-2f602e24c044”],单元格[CellGroupData[{单元格[3218,118,519,17,34,“输入”,表达式UUID->“443e45d5-b8ea-462b-866a-03f35bcea602”],单元格[3740,137,371,14,61,“输出”,表达式UUID->“dec4f02b-f0a7-4631-bdd7-55c870c3f6a4”]},打开]],单元格[CellGroupData[{单元格[4148,156,608,20,34,“输入”,表达式UUID->“30f73d48-d84c-4cb8-9a27-ce4ca7d85c33”],单元格[4759,178,229,5,34,“输出”,表达式UUID->“8d26c773-df8c-440b-af50-20a4bb28c5f5”]},打开]]},打开]],单元格[CellGroupData[{单元格[5037189870,54,“子节”,表达式UUID->“aab45dd9-628c-427a-8895-6914c5b56352”],单元格[CellGroupData[{单元格[5149193573,17,30,“输入”,表达式UUID->“b22a7d52-c2bb-4a50-9a1a-9bcc879a4c0d”],单元格[5725,212,521,18,64,“输出”,表达式UUID->“3b92614e-727b-423b-9892-9e25b11208cd”]},打开]]},打开]],单元格[CellGroupData[{单元格[6295,236,83,0,54,“子节”,表达式UUID->“d358eacf-fc26-48db-a8d6-09d81afb5da1”],单元格[CellGroupData[{单元格[6403,240,346,9,30,“输入”,表达式UUID->“8a3267cb-513c-4e41-8c8c-1c2cf6bf3c53”],单元格[6752,251,413,9,34,“输出”,表达式UUID->“3ea1cf0e-7e57-4b2a-9f47-b2223021ee12”]},打开]],单元格[7180,263,567,11,52,“输入”,表达式UUID->“dc9907be-e1b4-41f9-a87c-d399a7246abd”],单元格[CellGroupData[{单元格[7772,278,138,3,30,“输入”,表达式UUID->“c6242b3c-c341-4b90-aa63-b107401e9fbc”],单元格[7913,283,86,0,34,“输出”,表达式UUID->“cf289f26-22e7-4627-b523-07d5814e4e41”]},打开]],单元格[CellGroupData[{单元格[8036,288,726,20,73,“输入”,表达式UUID->“dae5a34c-ea0c-49b4-8c67-99aadb32f32a”],单元格[CellGroupData[{单元格[8787,312,225,5,24,“打印”,表达式UUID->“dbc6fb22-31ec-4f25-9128-c9ea704d281a”],单元格[9015、319、222、5、27,“打印”,表达式UUID->“22515c37-5ee7-4c5c-88af-ec8eae9b0b54”],单元格[9240,326,222,5,27,“打印”,表达式UUID->“066a4848-91f0-4959-bffe-463a11b4c20b”],单元格[9465,333,223,5,27,“打印”,表达式UUID->“df517288-0a9f-47c7-8bec-e02264e13c32”],单元格[9691,340,224,5,27,“打印”,表达式UUID->“fd153d43-895d-4a86-a188-8640953f61ec”],单元格[9918,347,223,5,24,“打印”,表达式UUID->“2a87f981-e45e-43c5-8cb8-396de561640c”],单元格[10144,354,225,5,24,“打印”,表达式UUID->“7cafe4ee-b83c-47a4-a586-007c02796bd4”],细胞[10372361224,5,24,“打印”,表达UUID->“bf925303-ed66-4729-bec8-8d32c05142b4”],单元格[10599,368,224,5,24,“打印”,表达式UUID->“99220dbc-307d-4042-b407-44818c598d8d”],单元格[10826,375,225,5,24,“打印”,表达式UUID->“1be346da-f4b5-4353-a210-9e80eb437760”],单元格[11054,382,225,5,24,“打印”,表达式UUID->“5d90e5a0-6530-427e-91cb-0c65b6cc75d7”],单元格[11282,389,224,5,24,“打印”,表达式UUID->“8c07731a-efe5-4ae1-9926-fdedc6e93eac”],单元格[11509,396,226,5,24,“打印”,表达式UUID->“c851d9c1-81d3-4cf5-8dec-eb5bd5834a96”],单元格[11738,403,226,5,24,“打印”,表达式UUID->“f9677f55-495d-47d2-aad8-02ab90135d67”],单元格[11967,410,226,5,24,“打印”,表达式UUID->“177cf23c-0ff2-422c-9aaa-d37b96d0fefc”],单元格[12196,417,226,5,24,“打印”,表达式UUID->“7e65029d-9702-49f4-83ce-9bfdc121308d”],细胞[12425,424,224,5,24,“打印”,表达UUID->“eac5d6c5-e813-4ed7-b0a0-cf8ccfe907a0”],单元格[12652,431,227,5,24,“打印”,表达式UUID->“2850826a-7b2d-4dd6-b38e-05e4d0812bc7”],单元格[12882,438,227,5,24,“打印”,表达式UUID->“039de8f9-aca8-4f75-a7e5-9a68c2021c07”],细胞[13112,445,226,5,24,“打印”,表达UUID->“f745a2e8-821d-4a91--808c-527c0c7ddb38”],单元格[13341,452,226,5,24,“打印”,表达式UUID->“b4e98974-10f4-4fd2-ad5e-0ba6a0f63832”],单元格[13570,459,226,5,24,“打印”,表达式UUID->“73131b70-21cf-4c37-9f57-c3ee4f1a3b29”],单元格[13799,466,225,5,24,“打印”,表达式UUID->“5e617ec4-f4f2-4ae8-8d46-0d2b8e1c7c8d”],单元格[14027,473,225,5,24,“打印”,表达式UUID->“7e0c4b34-f7a5-4419-a6bc-9817dbf3d8fa”],单元格[142554802265,24,“打印”,表达式UUID->“498e0d90-7168-4b7b-82ac-49351f5b49de”],单元格[14484,487,227,5,24,“打印”,表达式UUID->“619c93b9-c05a-47c2-9d7e-42d2fbd4c69c”],单元格[14714,494,226,5,24,“打印”,表达式UUID->“bb41f1bc-376c-4874-ba6a-cefb4f440ca7”],单元格[14943,501,228,5,24,“打印”,表达式UUID->“5fb0798d-f3a5-4326-a16d-17b5d0c95d1e”],单元格[15174,508,228,5,24,“打印”,表达式UUID->“6c37c760-2fe8-412f-baec-3ece32ff8980”],单元格[15405,515,228,5,24,“打印”,表达式UUID->“772596cb-1f84-4016-8acf-278be65bf3de”],单元格[15636,522,221,5,24,“打印”,表达式UUID->“13f31044-cefd-42dc-82a9-9127804fa3dd”]},打开]]},打开]]},打开]]},打开]],单元格[CellGroupData[{单元格[15930,535,92,0,67,“节”,表达式UUID->“5aa8cf05-a0aa-499f-aa4b-481be343a933”],单元格[16025537197,5,30,“输入”,表达式UUID->“8ca72e08-e02b-4e18-b23d-ba860bde97f7”],单元格[CellGroupData[{单元格[16247,546,270,7,30,“输入”,表达式UUID->“144a8629-a3f9-462e-80e1-848ecd1202ba”],单元格[16520,555,283,10,38,“输出”,表达式UUID->“d6d6fd3f-f912-4361-b11e-bc285f1296f4”]},打开]],单元格[CellGroupData[{单元格[16840,570,269,7,30,“输入”,表达式UUID->“0372fcdc-f373-4912-ae67-643d1ec4e156”],单元格[17112,579,405,7,56,“输出”,表达式UUID->“c3badfcf-85ea-4849-a4ab-9b963ac30ff9”]},打开]],单元格[CellGroupData[{单元格[17554,591,346,11,54,“子节”,表达式UUID->“ce9c0625-7ce5-4ecf-87bcf5fb933b6”],单元格[CellGroupData[{单元格[17925,606,404,12,30,“输入”,表达式UUID->“999ad66e-546a-429f-8fea-a55873bbee5f”],单元格[18332,620,243,5,34,“输出”,表达式UUID->“e8f706ee-2a93-4529-997b-b92570454553”]},打开]],单元格[CellGroupData[{单元格[18612,630,321,9,30,“输入”,表达式UUID->“f6fe888b-a92b-4ea0-a657-b0b977c13b1f”],细胞[18936,641,298,9,34,“输出”,表达UUID->“bde1bdd1.9893-4413-bc85-4b556d003a06”]},打开]],单元格[CellGroupData[{细胞[19271,655,440,12,30,“输入”,表达UUID->“680eda2e-d771-4424-a319-74ad1ea14dac”],单元格[19714,669,283,10,38,“输出”,表达式UUID->“db36c0a4-7ea1-48d9-a79f-c3bb1cfc21e0”]},打开]]},打开]],单元格[CellGroupData[{单元格[20046,685,87,0,54,“小节”,表达式UUID->“9c9f60c6-8a8f-49cd-96e6-eed8a4b27179”],单元格[CellGroupData[{单元格[2015868957317,30,“输入”,表达式UUID->“f6edf182-4371-41ed-92c3-2b568698c062”],单元格[20734,708,415,14,38,“输出”,表达式UUID->“be5e840e-cafd-4a93-ac77-b19ba5033528”]},打开]]},打开]],单元格[CellGroupData[{单元格[21198,728,80,0,54,“子节”,表达式UUID->“4e807fbb-8118-4d4c-be2e-38481af038b5”],单元格[CellGroupData[{单元格[21303,732,587,18,34,“输入”,表达式UUID->“210703f1-6d23-4c95-817e-fbd12dff0667”],单元格[21893,752,283,10,38,“输出”,表达式UUID->“9e9ca549-9958-4a5d-b5a2-212b51707bdd”]},打开]]},打开]],单元格[CellGroupData[{单元格[22225768100,0,54,“子节”,表达式UUID->“2da801bf-858a-4b76-a71a-c4b5d3aaf7e2”],单元格[CellGroupData[{单元格[22350,772,679,22,54,“输入”,表达式UUID->“9b8cbb28-6553-484e-bfd9-ffec6bb170cb”],单元格[23032,796,247,5,34,“输出”,表达式UUID->“cef55198-9933-4bb8-98b2-45809f30f712”]},打开]],单元格[CellGroupData[{单元格[23316,806,717,23,54,“输入”,表达式UUID->“abe0cdb8-49e9-4d99-b10c-b1de8d0703be”],细胞【24036,831,250,5,34,“输出”,表达UUID->“3a1c1c196f-f3b6-4c0e-b356-7a1e9a46c638”】},打开]]},打开]],单元格[CellGroupData[{单元格[24335,842,83,0,54,“子节”,表达式UUID->“8eaa9e0b-a1e8-48ce-8639-f21ce211c186”],单元格[24421,844,225,5,35,“文本”,表达式UUID->“704b710b-6212-4e99-81b7-b94aeb2c2354”],单元格[CellGroupData[{单元格[24671,853,346,9,30,“输入”,表达式UUID->“28a74c10-4cea-49d3-a4bf-d237268b55fc”],单元格[25020,864,201,5,34,“输出”,表达式UUID->“33a94c0b-8061-4db7-9f6c-b6128221d6fd”]},打开]],单元格[CellGroupData[{单元格[25258874375,10,30,“输入”,表达式UUID->“f267a635-03fb-4eff-854d-4e4e6816b581”],细胞【25636,886,397,9,34,“输出”,表达UUID->“89f65caf-e86a-4626-accc-4e80c6abf228”】},打开]],单元格[26048,898,587,12,52,“输入”,表达式UUID->“88b352a8-0484-498e-b8cb-09d19d509ae5”],单元格[CellGroupData[{单元格[26660,914,142,3,30,“输入”,表达式UUID->“3e24d8a1-259a-45a6-abcb-5aae57ab0ed”],单元格[26805,919,112,2,34,“输出”,表达式UUID->“7dca74f0-837c-4211-8166-c98466ab9587”]},打开]],单元格[CellGroupData[{单元格[26954,926,554,16,52,“输入”,表达式UUID->“c8bc51a5-ac93-407d-8e64-a2c93d32b4cb”],单元格[27511、944、1165、39、592,“输出”,表达式UUID->“81b50963-efed-412c-ac57-8014da96ba5f”]},打开]],单元格[CellGroupData[{单元格[28713,988,222,6,30,“输入”,表达式UUID->“8ce95c76-d3a4-49a8-94bb-0989fa1d32c3”],单元格[28938、996、436、8、56,“输出”,表达式UUID->“3ed5c6b5-8429-4644-89ab-ba158460edeb”]},打开]],单元格[CellGroupData[{单元格[29411、1009、377、11、30,“输入”,表达式UUID->“9ed1e538-684b-4cab-83f1-a51fea3b2db9”],单元格[29791,1022,86,0,34,“输出”,表达式UUID->“9f11b08d-98d2-4c22-9d92-d4d03a2a70fb”]},打开]],单元格[CellGroupData[{单元格[29914、1027、766、22、73,“输入”,表达式UUID->“d3e03f52-c502-40cd-bc81-66ef9aae70a3”],单元格[CellGroupData[{单元格[30705,1053,222,5,24,“打印”,表达式UUID->“523a630e-65b9-4e3a-9d0c-f00ed04b06c6”],单元格[30930,1060,225,5,24,“打印”,表达式UUID->“0010fb95-15a8-4d8f-a82d-88ce8ead16de”],单元格[31158,1067,222,5,24,“打印”,表达式UUID->“2ab3230c-6246-4081-b6d7-5216b0e3249e”],单元格[31383,1074,222,5,27,“打印”,表达式UUID->“c1b872e6-8635-4c41-87bb-89db3318889f”],细胞[31608,1081,222,5,27,“打印”,表达UUID->“33d1ed52-4c08-4c97-a39e-10e85e6dabb0”],单元格[31833、1088、222、5、27,“打印”,表达式UUID->“8ae139dc-a252-4df4-9348-d955792b8648”],单元格[32058,1095,223,5,27,“打印”,表达式UUID->“01d69bd4-93b8-4fc9-87aa-80a2b1a0772c”],单元格[32284,1102,223,5,27,“打印”,表达式UUID->“6d941269-55b0-424d-a3cd-f4e0c74e2aa1”],单元格[32510、1109、224、5、24,“打印”,表达式UUID->“979e0d9b-6c4a-4cc8-880f-0bc154ac3bf0”],单元格[32737,1116,226,5,24,“打印”,表达式UUID->“2e56e524-34bd-45ed-981a-19b13b5463ac”],单元格[32966、1123、226、5、24,“打印”,表达式UUID->“bb5f231b-4901-4845-ac8b-d8d78357aca2”],单元格[33195、1130、225、5、24,“打印”,表达式UUID->“75817e52-17ef-433f-bb20-267ffa787b7f”],单元格[33423、1137、226、5、24,“打印”,表达式UUID->“934f2935-66b0-4963-80bc-009f71cc8257”],细胞[33652,1144,226,5,24,“打印”,表达UUID->“2e222428d-55a4-4e70-af9e-318949ab968”],单元格[33881、1151、225、5、24,“打印”,表达式UUID->“c1f1002c-1a8c-4b8b-b123-7d6e1c0d675d”],单元格[34109、1158、226、5、24,“打印”,表达式UUID->“c828ba72-71b5-48b7-93b1-33d5716cbb55”],细胞[3343381165226,5,24,“打印”,表达UUID->“6965f67f-a9d1-419d-83a7-7f976f3998c8”],单元格[34567、1172、226、5、24,“打印”,表达式UUID->“dee652da-c2c8-4ac5-8e5b-70c20797a500”],单元格[34796、1179、226、5、24,“打印”,表达式UUID->“95e056af-d201-4ab0-9ea2-556f7a7731ff”],单元格[35025,1186,216,5,24,“打印”,表达式UUID->“44f55c4a-2913-43f1-8d7f-bb45d248be6a”],单元格[352441193225,5,24,“打印”,表达式UUID->“4d98eac2-fca1-4767-81d3-647830f7befb”],单元格[35472,1200,228,5,24,“打印”,表达式UUID->“2e759a57-bfe4-4d14-bd63-028f01f0d99b”],单元格[35703、1207、221、5、24,“打印”,表达式UUID->“09748bf5-c12c-44aa-9840-48c14b71bd48”],单元格[35927,1214,222,5,24,“打印”,表达式UUID->“18982e2d-dd6c-46cc-a74e-21d34d6d927”],单元格[3615212212212282285,5,24,“打印”,表达式UUID->“cb482a88-e251-4882-882c-64020ce2919a”],单元格[3638312282225,5,24,“打印”,表达式UUID->“5039c329-65ba-460a-8fb1-d318314dcfac”]},打开]]},打开]],单元格[CellGroupData[{单元格[36654,1239,681,19,73,“输入”,表达式UUID->“258ceedd-2f06-4b03-b6a5-e939d1be9163”],单元格[CellGroupData[{单元格[37360,1262,247,6,24,“打印”,表达式UUID->“8aeb0a23d-28f-42f1-aefa-bfb06f4d6347”],单元格[37610,1270,247,6,24,“打印”,表达式UUID->“ff45081a-171f-40ec-9170-3ac90b8d02a5”],单元格[37860、1278、205、5、24,“打印”,表达式UUID->“af795a54-3f09-424f-a883-54ca206f0f4d”]},打开]]},打开]]},打开]]},打开]],单元格[CellGroupData[{单元格[38138,1291,83,0,67,“节”,表达式UUID->“65a07819-efea-494a-afb7-ac888ba566bb”],单元格[38224、1293、732、27、95,“输入”,表达式UUID->“cea2695b-9c12-486e-822b-219dcfb8297c”],单元格[CellGroupData[{细胞[38981,1324,495,16,70,“子节”,表达UUID->“21d94f24-d878-47d3-9020-616332d6c1c0”],单元格[CellGroupData[{单元格[39501、1344、309、9、70,“输入”,表达式UUID->“38a71307-5131-4a39-8e25-77aae6f17f18”],单元格[39813、1355、559、20、70,“输出”,表达式UUID->“112a5f59-c47f-457d-aa71-5a358ac818dc”]},打开]],单元格[CellGroupData[{单元格[40409,1380,554,19,70,“输入”,表达式UUID->“eabe5116-697f-4465-bf1d-55b0c08baf58”],单元格[40966、1401、582、19、70,“输出”,表达式UUID->“fcebef8f-3866-4fb7-9a4e-dbcf357d1969”]},打开]],单元格[CellGroupData[{单元格[41585,1425,759,22,70,“输入”,表达式UUID->“82e81bd1-20c2-492a-a517-ae57f99fdec4”],单元格[42347、1449、982、27、70,“输出”,表达式UUID->“80f85777-0678-45d6-afa9-08fa24a9ee8d”]},打开]]},打开]],单元格[CellGroupData[{单元格[43378,1482,454,15,70,“子节”,表达式UUID->“7a656f1e-955e-4750-9cbf-5e82df21c530”],单元格[CellGroupData[{单元格[43857,1501,713,21,70,“输入”,表达式UUID->“defeaab0-6bfc-46f4-a82f-856df2100a70”],单元格[44573、1524、331、6、70,“输出”,表达式UUID->“33a23848-ded0-4f6d-8d54-2ae3934ea120”]},打开]]},打开]],单元格[CellGroupData[{单元格[44953,1536,388,12,70,“子节”,表达式UUID->“acd3eeaf-a852-4750-83f7-2d647f6cbd82”],单元格[CellGroupData[{单元格[45366,1552,645,20,70,“输入”,表达式UUID->“48b97429-0dd4-48a9-9c05-b8be9525f47e”],单元格[46014,1574,331,6,70,“输出”,表达式UUID->“4ab577fb-6a79-422b-b8b8-c4a0d4677a39”]},打开]]},打开]]},打开]]},打开]]}]*)