搜索： a196700-编号：a196700
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A196856号
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| T（n，k）=nXk 0..4个数组的数量，每个元素x等于其水平和垂直邻域的数量，对于x=0,1,2,3,4，等于3,1,0,2,4 |
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+10
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1, 2, 2, 4, 11, 4, 6, 38, 38, 6, 12, 136, 206, 136, 12, 22, 496, 1370, 1370, 496, 22, 40, 1792, 8767, 16876, 8767, 1792, 40, 74, 6440, 56470, 199125, 199125, 56470, 6440, 74, 136, 23306, 363685, 2369631, 4326720, 2369631, 363685, 23306, 136, 250, 84180
(列表；桌子；图表；参考；听；历史；文本；内部格式)
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1,2
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评论
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每0紧挨着0 3，每1紧挨着1 1，每2紧挨着2 0，每3紧挨着3 2，每4紧挨着4 4
表格开始
...1......2........4...........6.............12...............22
...2.....11.......38.........136............496.............1792
...4.....38......206........1370...........8767............56470
...6....136.....1370.......16876.........199125..........2369631
..12....496.....8767......199125........4326720.........94652804
..22...1792....56470.....2369631.......94652804.......3805929995
..40...6440...363685....28194191.....2069281146.....152929723254
..74..23306..2343584...335586650....45250654402....6148984299163
.136..84180.15108610..3993458371...989582452566..247223213832440
.250.303664.97376923.47516896629.21641093339471.9939022894905148
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链接
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例子
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n=6 k=4的一些解
..0..0..0..2....0..0..0..0....0..0..0..0....0..0..0..2....0..0..0..1
..0..0..0..0....0..0..1..2....0..0..2..2....0..0..0..0....0..0..0..1
..1..1..2..0....2..2..1..0....1..1..2..0....0..0..1..1....2..1..1..0
..0...0...2...2...0...2...0...0...0...0...0...0...0...0...0...0...0...0...0...0...2...0
..2...2...0...0...1...0...0...0...0...1...2...2...1...0...0...0...0...0...1..1
..0..2..0...0...0...0...0...0...0...2...1...0...0...0...2...0...0...0...2...0...0...2...0
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交叉参考
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关键词
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作者
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状态
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经核准的
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A196950型
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| T（n，k）=nXk 0..4个数组的数量，每个元素x等于其水平和垂直邻域的数量，x=0,1,2,3,4，等于4,1,0,2,3 |
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+10
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1, 2, 2, 4, 11, 4, 6, 38, 38, 6, 12, 136, 210, 136, 12, 22, 496, 1416, 1416, 496, 22, 40, 1792, 9199, 18060, 9199, 1792, 40, 74, 6440, 60206, 220433, 220433, 60206, 6440, 74, 136, 23306, 393585, 2711711, 5039158, 2711711, 393585, 23306, 136, 250, 84180
(列表；桌子；图表；参考；听；历史；文本；内部格式)
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1,2
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评论
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每个0紧邻0 4，每个1紧邻1 1，每个2紧邻2 0，每个3紧邻3 2，每个4紧邻4 3
表格开始
...1......2.........4...........6.............12................22
...2.....11........38.........136............496..............1792
...4.....38.......210........1416...........9199.............60206
...6....136......1416.......18060.........220433...........2711711
..12....496......9199......220433........5039158.........115982718
..22...1792.....60206.....2711711......115982718........4998342821
..40...6440....393585....33344883.....2668162530......215125975535
..74..23306...2575161...410312728....61397041229.....9264434681345
.136..84180..16853437..5047886243..1412800280934...398999272140802
.250.303664.110272832.62090427845.32510004942226.17183027304906341
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链接
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例子
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n=6 k=4的一些解
..0..0..0..0....0..0..0..2....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..0....0..0..0..2
..2..0..0..0....1..2..1..1....0..1..1..0....1..0..1..0....2..0..0..1
..2..0..1..2....1..0..0..2....1..0..0..0....1..2..0..0....1..2..2..1
..0..0..1..0....0..0..0..0....1..2..1..0....0..1..0..0....1..0..0..2
..1..1..0..0....0..2..2..0....0..0..1..0....0..1..2..0....0..0..0..0
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交叉参考
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关键词
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作者
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状态
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经核准的
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A242239型
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| T（n，k）=长度n+k+1 0..k数组的数量，每个值0..k在每个连续的k+2元素中至少出现一次，并按顺序引入新值0..k |
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+10
6
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3, 6, 5, 10, 12, 8, 15, 22, 22, 13, 21, 35, 43, 40, 21, 28, 51, 71, 82, 74, 34, 36, 70, 106, 139, 157, 136, 55, 45, 92, 148, 211, 271, 304, 250, 89, 55, 117, 197, 298, 416, 531, 586, 460, 144, 66, 145, 253, 400, 592, 821, 1047, 1129, 846, 233, 78, 176, 316, 517, 799
(列表；桌子；图表；参考；听；历史；文本；内部格式)
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1,1
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评论
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表格开始
...3....6...10...15....21....28....36....45....55....66....78....91...105
...5...12...22...35....51....70....92...117...145...176...210...247...287
...8...22...43...71...106...148...197...253...316...386...463...547...638
..13...40...82..139...211...298...400...517...649...796...958..1135..1327
..21...74..157..271...416...592...799..1037..1306..1606..1937..2299..2692
..34..136..304..531...821..1174..1590..2069..2611..3216..3884..4615..5409
..55..250..586.1047..1626..2332..3165..4125..5212..6426..7767..9235.10830
..89..460.1129.2059..3231..4642..6308..8229.10405.12836.15522.18463.21659
.144.846.2176.4047.6411.9256.12587.16429.20782.25646.31021.36907.43304
.233.1556.4195.7955.12716.1844.2225138.32821.41527.51256.62008.73783.86581
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链接
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配方奶粉
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k列的经验值：
k=1:a（n）=a（n-1）+a（n-2）
k=2:a（n）=a（n-1）+a（n-2）+a
k=3:a（n）=a（n-1）+a（n-2）+a
k=4:a（n）=a（n-1）+a（n-2）+a
k=5:a（n）=a（n-1）+a（n-2）+a
k=6:a（n）=a（n-1）+a（n-2）+a
k=7:a（n）=a（n-1）+a（n-2）+a
k=8:a（n）=a（n-1）+a（n-2）+a
k=9:a（n）=a（n-1）+a（n-2）+a
第n行的经验值：
n=1:a（n）=（1/2）*n^2+（3/2）*n+1
n=2:a（n）=（3/2）*n^2+（5/2）*n+1
n=3:a（n）=（7/2）*n^2+（7/2
n=4:a（n）=（15/2）*n^2+（9/2）*n+1
n=5:a（n）=（31/2）*n^2+（11/2）*n+1对于n>1
n=6:a（n）=（63/2）*n^2+（13/2）*n+1，对于n>2
n=7:a（n）=（127/2）*n^2+（15/2）*n+1，对于n>3
n=8:a（n）=（255/2）*n^2+（17/2）*n+1，对于n>4
n=9:a（n）=（511/2）*n^2+（19/2）*n+1，对于n>5
n=10:a（n）=（1023/2）*n^2+（21/2）*n+1，对于n>6
n=11:a（n）=（2047/2）*n^2+（23/2）*n+1，对于n>7
n=12:a（n）=（4095/2）*n^2+（25/2）*n+1，对于n>8
n=13:a（n）=（8191/2）*n^2+（27/2）*n+1，对于n>9
n=14:a（n）=（16383/2）*n^2+（29/2）*n+1，对于n>10
n=15:a（n）=（32767/2）*n^2+（31/2）*n+1，对于n>11
经验大k推广，对于k>n-4:T（n，k）=（（2^n-1）/2）*k^2+（（2*n+1）/2）*k+1
经验递推推广，对于列k：a（n）=sum{i in 1..k+1}a（n-i）
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例子
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n=5 k=4的一些解
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....1....1....1....1....1....1....1....1....1....0....1....1
..2....2....0....2....2....1....0....0....2....0....2....2....0....1....2....0
..1....3....2....3....3....2....2....2....3....2....3....3....2....2....3....2
..3....4....3....4....4....3....3....3....0....3....0....0....3....3....4....3
..4....0....4....1....0....4....4....4....4....4....4....4....4....4....1....4
..0....2....2....0....1....0....2....0....2....1....2....1....0....2....0....1
..2....1....1....0....2....1....1....1....1....0....1....2....1....0....2....0
..2....3....0....2....3....0....0....1....0....0....3....4....2....1....3....4
..1....0....0....3....0....2....2....2....3....2....2....3....3....1....0....2
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交叉参考
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关键词
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作者
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状态
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经核准的
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1, 0, 5, 4, 1, 7, 8, 4, 4, 2, 6, 5, 6, 8, 4, 2, 1, 7, 5, 1, 5, 7, 4, 7, 7, 3, 4, 3, 0, 5, 6, 7, 3, 4, 8, 3, 7, 4, 6, 1, 4, 2, 1, 0, 4, 5, 8, 9, 1, 6, 0, 6, 6, 4, 5, 3, 6, 7, 7, 2, 1, 8, 5, 0, 7, 8, 2, 3, 8, 0, 7, 2, 5, 6, 7, 6, 3, 2, 7, 7, 7, 9, 0, 9, 4, 3, 3, 8, 4, 5, 0, 3, 2, 0, 5, 7, 5, 4, 6, 9, 3
(列表；常数；图表；参考；听；历史；文本；内部格式)
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抵消
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1,3
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评论
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有关图表，请参阅Mathematica程序。
xo=1.24880143672155085604751250020128381535587614。。。
yo=1.316459553750751521287899273267267118610622603。。。
m=1.05417844265684217515747734305673483746142104。。。
|OP|=1.81454423617045980814297669595599066552030。。。
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链接
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数学
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c=1；
xo=x/。
查找根[x==Sin[x]（c+Cos[x]），{x，1，1.3}，工作精度->100]
m=1/Sin[xo]
yo=m*xo
d=平方[xo^2+yo^2]
显示[Plot[{c+Cos[c*x]，yo-（1/m）（x-xo）}，{x，0，Pi}]，ContourPlot[{y==m*x}，}x，0、Pi}，｛y，0，2}]，PlotRange->All，AspectRatio->Automatic，AxesOrigin->Automatic]
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交叉参考
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关键词
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作者
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状态
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经核准的
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A248959型
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| 长度为n的三元字的数量，其中所有数字0..2出现在4个连续数字的每个子字中。 |
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+10
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1, 3, 9, 27, 36, 72, 132, 240, 444, 816, 1500, 2760, 5076, 9336, 17172, 31584, 58092, 106848, 196524, 361464, 664836, 1222824, 2249124, 4136784, 7608732, 13994640, 25740156, 47343528, 87078324, 160162008, 294583860, 541824192, 996570060, 1832978112
(列表；图表；参考；听；历史；文本；内部格式)
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抵消
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0,2
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评论
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对于n<4，约束条件无效：每个n位单词都满足定义，因为没有长度为4的子单词-M.F.哈斯勒2015年1月13日
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链接
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配方奶粉
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通用公式：（1+2*x+5*x^2+14*x^3-3*x^4-3*x*6）/（1-x-x^2-x^3）更正人科林·巴克2015年1月12日
a（n）=a（n-1）+a（n-2）+a。
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数学
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连接[{1,3,9,27}，线性递归[{1,1,1}，{36,72,132}，30]](*哈维·P·戴尔2015年3月12日*）
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黄体脂酮素
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（PARI）向量（（1+2*x+5*x^2+14*x^3-3*x^4-3*x*x^6）/（1-x-x^2-x^3）+O（x^100））\\科林·巴克2015年1月12日；通过扩展到指数0..3M.F.哈斯勒2015年1月13日
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交叉参考
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关键词
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非n,容易的
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作者
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扩展
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状态
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经核准的
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