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Fj(\(2)p Fh(n)9 bFi(\000)f Fj(1),)13 bFh(n-)eFi(\025)f Fj(1)262 1440 y Fk(93)52 b Fj(l,)14 b(6,)g(25)g(90)g(301,)h(966,)f(3025,)g(9330,)h(28501,)g262 1486 y(7141686,)i(21457825,)h(64439010,)g(193448101,)g(580606446,)g(1742343625,)克(5228079450,)262 1532年(15686335501)343b(斯特林)16 b(n)o(um)o(b)q(ers)e(of)e(second)i(kind:)19b Fh(S)r Fj(\()p Fh(n;)6 b Fj(3),)13 b FhFj(3)262 1602 y Fk(94)51 b Fj(6),)13 b(28)f(496,)i(8128,)f(33550336,)h(8589869056,)克(137438691328,)262 1648年(2305843008139952128,)(2658455991569831744)q(65469)q(26159)q(53842)q(176)6241694 y(P)o(erfect)d(n)o(um)o(b)q(ers):18 b(等于)c(to)f(the)g(总和)h(of)e(它们的)i(prop)q(er)g(除数)262 1764 y Fk(95)53 bFj(1)15 b(8)g(21)g(40)g(65)g(96)g(133)g(176,)h(225,)f(280,)g(341,)小时(408,)夫(481,)克(560,)小时y(936,)c(1045,)g(1160,)g(1281,)g(1408,)g(1541,)h(1680,)f(1825,)g(1976,)g(2133,)g(2296,)h(2465,)f(2640,)g,(2821,)262 1856 y(3008,)i(3201)537b(八角形)14 b(n)o(um)o(b)q(ers):k Fh(n)p Fj(\(3)pFh(n)9 b Fi(\000)f Fj(2),)13 b Fh(n)e Fi(\025)f Fj(1)2621926年Fk(96)53 b Fj(1)16 b(8)g(27)g(64)g(125)g(216)g(343)h(512)f(729)g(1000)g(1331)h(1728)f(2197)h(2744)f(3375)2621972年(4096)克(4913)小时(5832)克(6859)克(8000)克(9261)克(10648)克(12167)克(13824)克(15625)克(17576,)克(19683,)262 2017年(21952,)c(24389)959b(The)12 b(cub)q(es)262 2088 y Fk(97)58 b Fj(1,)20 bFi(\000)p Fj(24,)h(252,)h Fi(\000)p Fj(1472,)f(4830,)gFi(\000)p Fj(6048,)h Fi(\000)p Fj(16744,)f(84480,)h Fi(\0000)pFj(113643,)g Fi(\000)p Fj(115920,)262 2134 y(534612,)13b Fi(\000)p Fj(370944,)h Fi(\000)p Fj(577738,)f(401856,)h(1217160,)g(987136,)f Fi(\000)p Fj(6905934,)h(2727432,)262 2179y(10661420)816 b(拉曼)o(ujan)14 b Fh(\034)j Fj(函数)2622250 y Fk(98)52 b Fj(341,)14 b(561,)h(645,)f(1105,)h(1905)f(2047)h(2465)f(2701)h(2821)f(3277)h(4033)2622296年(4369,)c(4371,)g(4681,)h(5461,)f(6601,)g(8911)f(10261)h(10585)f(11305)h(12801)262 2341 y(13741,)h(13747)437 b(Sarrus)14 b(n)o(um)o(b)q(ers:)k(伪伪时间)d(to)e(基数)g(2)2622412 y Fk(99)49 b Fj(561,)12 b(1105,)g(1729,)f(2465,)h(2821,)g(8911)克(10585)克(15841)克(29341)克(41041)克2457 y(52633)18 b(62745)h(63973)g(75361)g(101101)g(115921)g(126217)克(162401)克(172081)克(188461,)262 2503年(252601,)13b(278545)749 b(卡米奇)o(哈尔)14 b(n)o(um)o(b)q(ers)9242731年Fm(8)p eop%%页码:7 37 2 bop 262 307 a Fk(72)57 b Fj(1,)20 b(3,)h(11,)f(50,)h(274,)f(1764,)h(13068,)克(109584,)小时(1026576,)夫(10628640,)小时353 y(1486442880,)14 b(19802759040,)h(283465647360,)f(4339163001600,)i(70734282393600,)262 399 y(1223405590579200)290 b(斯特林)15b(n)o(um)o(b)q(ers)f(of)f(\014rst)g(kind:)19 b Fh(s)pFj(()p Fh(n;)6 b Fj(2),)12 b Fh(n)f Fi(025)g Fj(2.)262469 y Fk(73)54 b Fj(1)17 b(3)g(13)g(75)g(541)g(4683)g(47293)h(545835,)克(7087261,)夫(102247563,)i(1622632573,)262 515y(28091567595,)14 b(526858348381,)h(10641342970443,)g(230283190977853,)262 560 y(5315654681981355)295 b(优先)o(tial)15 b(安排人)o(ts)f(of)f Fh(n)g Fj(things),h Fh(n)d Fi(\025)f Fj(1)262 631y Fk(74)47 b Fj(1,)9 b(3,)g(15,)h(105,)f(945,)h(10395,)g(135135,)g(2027025,)小时(34459425,)夫(654729075,)小时677年(316234143225,)月(7905853580625,)小时(2134580466875,)(6190283353629375)567 722 y(双)e(阶乘)h(n)o(um)o(b)q(ers:)j(2)p Fh(n)8 b Fj(+)h(1)!!)h(=)h(1)p Fh(:)p Fj(3)pF h(:)p Fj(5)p Fh(:::)p F j(\(2)p F h(n)c Fj(+)h(1),)13b Fh(n)e Fi(\025)f Fj(1)262 793 y Fk(75)51 b Fj(1,13)b(3)f(16)h(125)g(1296)g(16807)h(262144)g(4782969)f(100000000)i(2357947691,)262 839 y(61917364224,)f(1792160394037,)h(56693912375296,)克(1946195068359375)q(,)262 884 y(72057594037927936)132b(Num)o(b)q(er)14 b(of)e(trees)h(with)h Fh(n)f Fj(lab)q(eled)i(no)q(des:)j Fh(n)1402 868 y Fg(n)1432 884 y Fi(\000)8 b Fj(2,)13b Fh(n)e Fi(\025)f Fj(2)262 955 y Fk(76)47 b Fj(1,)9b(3)g(16)h(218)f(9608)h(1540944)h(882033440)f(1793359192848)i(13027956824399552,)2621000年(341260431952972580352)q(,)j(32522909385055886)q(11119)q(7440)818 1046 y(有向)f(图)g(带)fFh(n)g Fj(unlab)q(eled)j(no)q(des)e Fh(n)d Fi(\025)fFj(1)262 1117 y Fk(77)51 b Fj(1),14 b(1)f(3)g(17,)g(155,)h(2073,)g(38227)克(929569)克(28820619)小时(1109652905)克(51943281731,)2621162年(2905151042481)克(191329672483963)克(14655626154768697,)小时(1291885088448017715)902 1208 y(基诺)q(cc)o(hi)f(n)o(um)o(b)q(ers:)j(膨胀)d(of)e(tan)p Fh(x=)p Fj(2))262 1279 y Fk(78)52b Fj(0,)14 b(1,)g(4,)g(69)f(80)g(81)g(84)g(85)g(256)h(257)f(260)g(261)2621324 y(272,)e(273,)g(276,)f(277,)h(320,)g(337)克(340)克(341)克(1024,)小时(1025,)夫(1028,)克(1029,)2621370 y(1040,)h(1041)239 b(Moser de)14 b(Bruijn)g(序列:)k(和)c(of)e(不同)j(p)q(o)o(w)o(ers)f(of)e(4)262 1440 y Fk(79)52b Fj(4)15 b(7)g(8)f(9)h(10)g(11)f(12)h(12)g(13)g(14)f(15)小时(15)克(16)克(16,16)夫(16)小时(17)克(17)g(18)克(18)夫(19)2621486年(19)月(19)日(20)克(20)夫(20)小时(21)克(21)夫(21)小时(22)克(22)f(23)h(23)g(23)f(24)h(24)g(24)f(25)h(25)g(25)f(25,26)1532 y(26,)g(26,,)h(2)410 b(彩色)14 b(n)o(um)o(b)q(er)g(of)e(表面)i(of)e(gen)o(us)i Fh(n)p Fj(,)f Fh(n)e Fi(\025)fFj(0)262 1602 y Fk(80)52 b Fj(1),15 b(4),g(9)f(16)h(25)g(36)f(49)h(64)克(81)克(100)克(121)克(144)夫(169)小时(196,225,)克(256,)g(289,)克(324,)262 1648年(361,)e(400,)g(441,)gh(729,)f(784,)g(841,)h(900,)f(961,)g(1024,)h(1089,)f(1156,)2621694年(1225年)g(1296年)966 b(The)13 b(squares)262 1764年Fk(81)51 b Fj(1)12 b(4)g(10)h(19)g(31)f(46)h(64)f(85)h(109)g(136,)克(166,)夫(199,)小时(235,)g(274,)克1810年(514,)克(571,)小时(631,)夫(694,)小时(1135)克(1219)克(1306)f(1396)h(1489)g(1585)262 1856y(1684,)f(1786)256 b(Cen)o(tered)13 b(三角形)i(n)o(3)p Fh(n)1263 1840 y Ff(2)1289 1856 y Fj(+)9 b(3)pFh(n)g Fj(+)f(2))p Fh(=)p Fj(2,)13 b Fh(n)e Fi(\025)fFj(1)262 1926 y Fk(82)54 b Fj(1,16 b(4),g(10,)g(20)g(35,)h(56,)f(84,)g(120,)h(165,)f(220,)g(286,)h262 1972年y(1140,)h(1330,)h(1540,)g(1771,)g(2024,)f(2300,)h(2600,)g2017年(2925)克(3276)克(3654)夫(4060)小时(4495)克(4960)262y(5456,)13 b(5984)488 b(T)m(四面体)14 b(n)o(um)o(b)q(ers:)kFh(C)s Fj(\)p Fh(n)9 b Fj(+)f(3)p Fh(;)e Fj(3\),)13b Fh(n)e Fi(\025)f Fj(0)262 2088 y Fk(83)54 b Fj(1,)17b(1)g(4)g(26)f(236)i(2752)f(39208,)h(660032,)f(12818912,)h(282137824,)h(6939897856,)262 2134 y(188666182784,)14b(5617349020544)小时(181790703209728)小时(6353726042486272)5092179 y(Sc)o(hro)q(eder’s)e(fourth)f(问题:)19 b(families)c(of)d(子集)i(of)f(an)g Fh(n)p Fj(-set)g Fh(n)e Fi(\025)fFj(1)262 2250 y Fk(84)51 b Fj(1,13 b(4),f(29)h(355,)g(6942,)g(209527)小时(9535241)克(642779354)克(63260289423)262 2296y(8977053873043,)h(1816846038736192,)g(51935557106577402)q(1)5052341 y(Num)o(b)q(er)f(of)e(transitiv)o(e)j(directed)g(graphs)f(with)fFh(n)g Fj(lab)q(eled)i(no)q(des)f Fh(n)d Fi(\025)f Fj(1)2622412 y Fk(85)51 b Fj(1),12 b(5),g(12)h(22)g(35)f(51)h(70)f(92)h(117,)g(145,)g(176,)f(210,)h(247,)g(287,)g(330,)g(376,)f(425,)h(477,)262 2457年(532,)f(590,)g(651,)g(1080,)小时(1162,)小时2503年(1717年)小时(1820年)483 b(P)o(en)o(tagonal)15 b(n)o(um)o(b)q(ers:)jFh(n)p Fj(3)p Fh(n)9 b Fi(000)f Fj(1))p Fh(=)p Fj(2,)13b Fh(n)e Fi(\025)f Fj(1)924 2731 y Fm(7)p eop%%页码:6 46 3 bop 262 307 a Fk(57)55 b Fj(0)18 b(1)f(2)h(9)g(44)g(265)g1854克(14833)克(133496)小时(1334961)克(14684570)克(176214841)262353 y(2290792932,)14 b(32071101049,)h(481066515734,)f(7697064251745,)i(130850092279664)416 399 y(Derangemen)o(ts:)j(p)q(erm)o(utations)c(of)dFh(n)h Fj(elemen)o(ts)h(带)g(无)f(固定)h(p)q(oin)o(ts,)gFh(n)d Fi(\025)f Fj(1)262 469 y Fk(58)51 b Fj(l,)13 b(2,)f(16,)h(272,)g(7936,)克(353792,)小时(22368256,)克515 y(29088885112832)克(4951498053124096)克(1015423886506852)q(352,)262560年(246921480190207983616)316b(T)m(angen)o(T)13 b(n)o(um)o(b)q(ers:)18 b(膨胀)d(of)e(tan)g(x)262 631 y Fk(59)52 b Fj(1,)13b(3)g(4)h(7)f(6)h(12)f(8)h(15)f(13)h(18)g(12)g(28)h(14)f(24)小时(24)克(31)夫(18)小时(39)克(20)夫(42)小时(32)夫(36)262677年(24,)日(60,)小时(31,)克(42,)日(54,)小时(48,)克(91,)夫(38,)小时722年(78,)克(72,)小时(48,)克Fj(\))24 b(=)h(sum)13 b(of)g(除数)g(除数)j(of)c Fh(n)pFj(,)h Fh(n)e Fi(\025)f Fj(1)262 793 y Fk(60)51 b Fj(1,12)b(3)h(4)f(7)h(9)g(12)f(13)h(16)g(19)f(21)h(25)g(27)g(28)f(31)小时(36)克(37)克(39)夫(43)小时(48)克(49)克(52)夫(57)262839年(61)克(63)克(64)克(67)克(73)克(75)克(76)克(79)小时(81)小时(84)克(91)克(93)克(97)克(100)小时(103),(108)克(109)小时(111),(112)克(117)262884 y(121,)h(124,)g(127)549 b(数字)o(b)q(ers)13 b(of)g(形式)gFh(x)1416 868 y Ff(2)1442 884 y Fj(+)8 b Fh(xy)i Fj(+e)Fh(y)1589 868 y Ff(2)262 955 y Fk(61)55 b Fj(1)17 b(3)g(4)g(7)g(11,)h(18),)f(29)h(47),f(76)g(123)h(199),g(322)f(521)h(843)f(1364,)小时(2207,)克(3571,)262 1000年(5778,)11年(9349,)小时(39603,)克(64079,)小时(103682,)夫(167761,)克1046 y(1149851,)g(1860498)256 b(卢卡斯)14 b(n)o(um)o(b)q(ers)jFh(L)p Fj(\()p Fh(n)p Fj(\))24 b(=)f FhbFi(\000)g Fj(1))21 b(+)g Fh(L)p Fj(\()p Fh(n)9 b Fi(\ 000)fFj(2))262 1117 y Fk(62)50 b Fj(1)11 b(1)h(1)g(3)g(4)f(12)h(27)g(82,)g(228,)g(733,)g(2282,)h(7528,)f(24834,)g(83898,)h(285357,)g(983244,)262 1162 y(3412420,)k(11944614,)h(42080170,)g(149197152,)g(531883768)克(1905930975)克(6861221666)262 1208年(24806004996)89b(数量)o(b)q(er)11 b(of)f(w)o(a)o(ys)h(to)g(切割)g(an)gFh(n)p Fj(-边)h(p)q(多边形)g(in)o(to)g(三角形)hFh(n)e Fi(\025)f Fj(3)262 1279 y Fk(63)52 b Fj(1,)14b(3)h(6),f(10)g(15)h(21)f(28)h(36)f(45)g(55)h(66)f(78)h(91)f(105,)h(120,)f(136,)h克(276,)克(300,)夫(325,)小时(351,)克(561,)克(595,)夫(630,)小时(666,)262 1370年(703,)小时b(T)m(三角形)15 b(n)o(um)o(b)q(ers):j Fh(n)p Fj(\)pFh(n)9 b Fj(+)f(1\))p Fh(=)p Fj(2,)13 b Fh(n)e Fi(\025)fFj(1)262 1440 y Fk(64)51 b Fj(1),13 b(3),f(6),h(11)g(17)g(25)g(34,)f(44,)h(55,)g(72,)go(b)g(直尺)g(带)g Fh(n)f Fj(标记)g Fh(n)e Fi(\025)fFj(2)262 1557 y Fk(65)53 b Fj(1),15 b(3)h(6)f(13)h(24)f(48)h(86,)f(160,)小时(282,)克(500,)夫(859,)小时1602年(18334,)克(29601,)小时(47330,)夫(75278,)小时克(451194,)克(696033,)夫(1068745,)262 1648年(1632658)541b(数量)o(b)q(er)13 b(of)g(平面)h(分区)i(of)c Fh(n)pFj(,)h Fh(n)e Fi(\025)f Fj(1)262 1719 y Fk(66)52 b Fj(1,15)b(3)g(7)f(9)h(13)g(15)f(21)h(25)g(31)g(33)g(37)f(43)h(49)g(51,)g(63,)f(67,)h(69,)g(73,)g(75,)g(79,)f(87,)262 1764y(93)g(99)g(105)g(111)g(115)g(127)g(129,)g(133,)h(135,)f(141,)(151,)克(159,)g(163,)小时(169,)f(171,)g(189,)格(193,)262 1810y(195,)f(201,)g(205)124b(Luc)o(ky)14b(n)o(um)o(b)q(ers)g(2014年)g(b)o(y)f(筛)o(e)h(类似)i(to)c(质数)i(n)o(um)o(b)q(ers)2621880年Fk(67)54 b Fj(1),16 b(3)h(7)f(19)g(47)h(130,)g(343,)f(951,)h(2615)克(7318)克(20491)克(57903)克(163898)小时(466199,)2621926年(1328993,)13亿(3799624,)小时(10884049,)克(31241170,)克(258604642)482 1972年y(Num)o(b)q(er)f(of)g(映射)i(from)eFh(n)g Fj(unlab)q(eled)i(p)q(oin)o(ts)g(to)e(themselv)o(es)hFh(n)d Fi(\025)f Fj(1)262 2042 y Fk(68)55 b Fj(1,18)b(3)f(9)h(25)g(65)g(161)g(385)g(897)g(2049,)h(4609,)f(10241,)h(22529,)f(49153)h(106497,)262 2088 y(229377,)13 b(491521,)h(1048577,)g(2228225)克(4718593)f(9961473)h(20971521)克(44040193)2622134年(92274689)626 b(库伦)15 b(n)o(um)o(b)q(ers:)jFh(n)9 b Fi(\001)f Fj(2)1402 2118 y Fg(n)1432 2134 yFj(+)g(1,)13 b Fh(n)e Fi(\025)f Fj(1)262 2204 y Fk(69)49b Fj(1)10 b(3)h(9)g(27)g(81)g(243)g(729)h(2187)f(6561)h(19683)f(59049)h(177147)g(531441)f(1594323)262 2250y(4782969)17 b(14348907)h(43046721)g(129140163)g(387420489)g(1162261467,)克(3486784401,)262 2296 y(10460353203)943b(P)o(o)o(w)o(ers)13 b(of)f(3)262 2366 y Fk(70)51 b Fj(1,)13b(3)f(9)h(33)g(139)g(718,)g(4535)262 2412 y(数字)o(b)q(er)d(of)h(顶部)q(ologies)i(or)d(transitiv)o(e)j(directed)f(graphs)f(with)gFh(n)g Fj(unlab)q(eled)i(no)q(des)f Fh(n)f Fi(\025)fFj(1)262 2482 y Fk(71)52 b Fj(1),14 b(1)g(3)g(11)g(45)g(197,)h(903)f(4279)g(20793)h(103049)g(518859)g(2646723)g(13648869)2622528 y(71039373,)f(372693519,)g(1968801519,)g(10463578353,)小时(55909013009,)克(300159426963)516 2574 y(Sc)o(hro)q(eder’s)f(second)克(问题:)k(w)o(a)o(ys)13 b(to)g(in)o(termet)h Fh(X)13382578 y Ff(1)1355 2574 y Fh(X)1387 2578 y F(2)1404 2574y Fh(::X)1469 2578 y Fg(n)1489 2574 y Fj(,)f Fh(n)eFi(\025)f Fj(1)924 2731 y Fm(6)p eop%%页码:5 55 4 bop 262 307 a Fk(43)56 b Fj(1)19 b(1)g(2)g(5)h(12)f(35)g(108)小时(369)小时(1285)小时(4655)克(17073)克(63600)克(238591)克(901971)262353 y(3426576)14 b(13079255)g(50107909)h(192622052)g(742624232)g(2870671950,)克(11123060678,)262 399 y(43191857688)602b(P)o(oly)o(omino)q(es)15 b(带)f Fh(n)f Fj(细胞)hFh(n)d Fi(\025)f Fj(1)262 469 y Fk(44)54 b Fj(1,)16 b(1,)g(2,)g(4,)g(12)克(56,)克(456,)小时(6880,)夫(191536,)i(9733056,)f(903753248,)克(154108311168,)262 515 y(48542114686912,)e(28401423719122304,)h(31021002160355166848)546 560 y(数字)o(b)q(er)e(of)e(结果)i(of)fFh(n)p Fj(-team)g(round-robin)i(tournamen)o(t),)f Fh(n-团队)dFi(\025)f Fj(1)262 631 y Fk(45)56 b Fj(一),19 b(一)g(二)g(五)h(十四)f(38,)克(120,)小时(353,)夫(1148,)小时(389560,)262 677 y(1301140,)13 b(4215748,)h(13976335,)g(46235800,)g(155741571,)h(512559185,)f(1732007938,)262 722 y(5732533570)205b(数量)o(b)q(er)13 b(of)g(w)o(a)o(ys)g(to)g(折叠)h(a)f(带状)g(of)Fh(n)g Fj(空白)i(印章)e Fh(n)e Fi(\025)f Fj(1)262793 y Fk(46)56 b Fj(1)19 b(1)g(2)g(5)h(14)f(42)g(132)h(429)f(1430,)小时(4862,)克(16796,)克839年(2674440)克(9694845)小时(35357670)克(129644790)克(477638700)克(1767263190,)小时(6564120420,)262 884年(24466267020)423b(加泰罗尼亚语)14 b(n)o(um)o(b)q(ers):k Fh(C)s Fj(2)p Fh(n;)6b(n)p Fj(\))p Fh(=)p Fj(\()p Fh(n)j Fj(+)f(1\),)13 bFh(n)e Fi(\025)f Fj(0)262 955 y Fk(47)49 b Fj(1)10 b(1,)h(2,)g(5,)g(15)克(52)克(203)克(877)克(4140)小时(21147)克(115975)小时(678570)小时(4213597,)克(27644437,)262 1000年(190899322,)i(1382958545,)克(10480142147,)小时(82864869804,)克(682076806159,)262 1046y(5832742205057)258 b(贝尔)14 b(或)f(经验)q(onen)o(tial)j(n)o(ers:)i(扩展)d(of)e Fh(e)1508 1030 y Ff(\()p Fg(e)15351020 y Fe(x)1553 1030 y Fd(\000)p Ff(1))262 1117 y Fk(48)54b Fj(1)16 b(1)h(1)f(2)g(5)h(16)f(61)h(272,)f(1385,)h(7936,)g(50521,)克(353792,)小时(2702765,)夫(22368256,)262 1162年(199360981,)日(1903757312)克(19391512145)小时(209865342976)克(2404879675441,)2621208 y(29088885112832)350 b(欧拉)14 b(n)o(um)o(b)q(ers:)k(展开)d(第)e(秒)7 b Fh(x)21 b Fj(+)g(tan)7 b F H(x)262 1279y Fk(49)53 b Fj(0,)16 b(2,)g(6,)f(12,)h(20,)g(90,)克(110,)克1324年(342,)月(380,)小时(420,)日(462,)小时(756,)小时(812,)克(870,)夫(930,)小时1370年(1190,)e(1260,)g(1332)517 b(质子)14 b(n)o(um)o(b)q(ers:)kFh(n)p Fj(\()p Fh(n)9 b Fj(+)f(1),)13 b Fh(n-)e Fi(\025)fFj(0)262 1440 y Fk(50)56 b Fj(1)18 b(2),g(6)h(20)g(70)f(252,)h(924,)克(3432,)克1486年(10400600,)14亿(40116600,)克(155117520,)克(2333606220,)小时(9075135300,)262 1532年(35345263800)371b(Cen)o(tral)14 b(二项式)i(co)q(e\016cien)o(ts:)i Fh(C)sFj(2)p Fh(n;)6 b(n)p Fj(\),)13 b Fh(n)e Fi(\025)f Fj(0)2621602 y Fk(51)51 b Fj(1)13 b(1)f(1)h(2)g(6)f(21)h(112)g(853)g(11117,)h(261080,)f(11716571)h(1006700565,)262 1648y(164059830476,)克(50335907869219,)i(29003487462848061,)f(3139738114276124)q(1960)602 1694 y(Num)o(b)q(er)e(of)g(已连接)h(图)g(带)f Fh(n)g Fj(unlab)q(eled)j(no)q(des,)eFh(n)d Fi(\025)f Fj(0)262 1764 y Fk(52)52 b Fj(1,)15b(2)f(6)h(22)f(101)h(573)g(3836)g(29228)g(250749)h(2409581)f(25598186,)小时(296643390,)262 1810年(3727542188,)小时(738680521142)284 1856 y(Kendall-Mann)h(n)o(um)o(b)q(ers)i(最大)d(in)o(v)o(版本)g(in)f(p)q(erm)o(变化)h(of)e Fh(n)gFj(字母)g Fh(n)e Fi(\025)f Fj(1)262 1926 y Fk(53)49b Fj(1)11 b(1)g(2)g(6)g(24)g(120)h(720)f(5040)h(40320)f(362880)小时(3628800)小时(39916800)小时(479001600)262 1972y(6227020800,)22 b(87178291200,)g(1307674368000,)h(20922789888000,)g(355687428096000,)262 2017年y(6402373705728000)559 b(F)m(实际)15b(n)o(um)o(b)q(ers):j Fh(n)p Fj(!,)12 b Fh(n)f Fi(\025)fFj(0)262 2088 y Fk(54)51 b Fj(1,)13 b(2,)f(7,)h(42,)g(429,)g(218348)小时(10850216)克(911835460)克(129534272700)2622134年(31095744852375)小时(12611311859677500)小时(8639383518297652500)7722179 y(Robbins)f(n)o(um)o(b)q(ers):1092 2149 y Fc(q)11312159 y Fg(n)p Fd(\000)p Ff(1)1131 2193 y Fg2179 y Fj(3)p Fh(k)9 b Fj(+)g(1)!)p Fh(=)p Fj(\()pFh(n)f Fj(+)h Fh(k)q Fj(\)!,)j Fh(n)f Fi(\025)f Fj(1)2622250 y Fk(55)47 b Fj(1)10 b(2)f(8)h(42)g(262)g(1828)g(13820)h(110954)f(933458)h(8152860)g(73424650)g(678390116)2622296年(6405031050,)j(61606881612,)h(602188541928,)f(5969806669034,)i(59923200729046)391 2341 y(闭合)d(平均值)i(n)o(um)o(b)q(ers:)j(w)o(a) o(ys)13 b(a)g(lo)q(op)h(can)g(cross)f(a)g(road)g(2)pFh(n)h Fj(倍)f Fh(n)e Fi(\025)f Fj(1)262 2412 y Fk(56)54b Fj(1)17 b(2)g(8)g(48)f(384)i(3840)f(46080)h(645120)f(10321920)小时(185794560)小时(3715891200,)262 2457年(81749606400,)14b(1961990553600,)h(51011754393600,)g(1428329123020800)q(,)2622503年(42849873690624000)233b(双)15b(阶乘)g(n)o(um)o(b)q(ers:)i(\(2)p Fh(n)p Fj(\)!)11 b(=)f(2)1434 2487 y Fg(n)14562503 y Fh(n)p Fj(!,)i Fh(n)f Fi(\025)f Fj(0)924 2731y Fm(5)p人%%页码:4 64 5 bop 262 307 a Fk(28)53 b Fj(1),15 b(1)g(1)f(2)h(3)g(6)g(11)g(23,)克(47,)小时(106,)夫(235,)克(48629,)262 353 y(123867,)d(317955,)h(823065,)f(2144505)h(5623756,)g(14828074)克(39299897)克(104636890)262 399年(279793450)380b(数量)o(b)q(er)13 b(共)g(树木)g(含)g Fh(n)g Fj(unlab)q(元素)j(否)q(des,)e Fh(n)d Fi(\025)f Fj(1)262 469 y Fk(29)51 b Fj(2,)14b(3)f(6)g(20)h(168)g(7581)g(7828354)g(2414682040998)i(5613043722868755790)q(7788)262 515 y(德德金)d(n)o(um)o(b)q(ers)18b(n)o(um)o(b)q(er)12 b(of)f(单调)i(Bo)q(olean)g(函数)g(of)fFh(n)f Fj(v)n(变量),j Fh(n)d Fi(\025)f Fj(0)262 585y Fk(30)54 b Fj(1)17 b(1)g(2)g(3)g(7)g(16)g(54)g(243)h(2038,)f(33120,)h(1182004,)g(87723296,)h(12886193064,)262 631y(3633057074584,)c(1944000150734320,)g(19678814483294074)q(96)649677 y(Num)o(b)q(er)e(of)g(Euler)h(graphs)g(or)f(2-图)h(with)fFh(n)g Fj(no)q(des)h Fh(n)d Fi(\025)f Fj(1)262 747年Fk(31)51 b Fj(0)13 b(0),f(1)h(1),g(2)f(3)h(7)g(18)f(41)h(123)g(367,)g(1288,)h(4878)617 793 y(Num)o(b)q(er)f(of)g(alternative)j(质数)d(节)h(带)g Fh(n)f Fj(交叉点)h Fh(n)d Fi(\025)fFj(1)262 863 y Fk(32)51 b Fj(0,)13 b(0f(49)h(165)g(552,)g(2176,)h(9988)813 909 y(Num)o(b)q(er)g(of)f(质数)g(节)h(带)g Fh(n)f Fj(交叉点)h Fh(n)d Fi(\025)fFj(1)262 980 y Fk(33)58 b Fj(l)21 b(1)g(2)g(3)g(8)g(14)g(42,)g(81,)g(262,)g(538,)h(1828,)f(3926,)h(13820,)g(30694,)g(110954,)2621025 y(252939,)16 b(933458,)g(2172830,)g,(8152860,)h(19304190,)g(73424650,)f(176343390,)h(678390116,)262 1071 y(1649008456)78b(Meandric)14 b(n)o(um)o(b)q(ers):k(w)o(a)o(ys)13 b(a)f(riv)o(er)h(can)g(交叉)g(a)g(道路)g Fh(n)f Fj(次数)h Fh(n)e Fi(\025)fFj(1)262 1142 y Fk(34)50 b Fj(0,)11 b(1,)h(2,)f(4)h(5)f(8)h(9,)f(10)h(13)g(16)g(17)f(18)h(20)g(25)f(26)h(29)g(32)g(34)f(36)h(37)g(40)g(41)f(45)262 1187 y(49)j(50)h(52)g(53)g(58)g(61)g(64)f(65)h(68)g(72)g(73)g(74)g(80)f(81)h(82)g(85)g(89)g(90)g(97,)f(98,)h(100,)262 1233 y(101,)e(104,)g(106)519 b(数字)o(b)q(ers)14b(即)f(是)g(总和)h(是)e(2)h(平方)262 1303 y Fk(35)51b Fj(1,)12 b(2,)h(4,)f(5,)h(8,)g(10,)f(14,)h(15,)g(16,)f(21,)h(22,)g(25,)克(26,)夫(28,)小时(33,)克1349年(48)小时(49)小时(50)克(53)克(57)克(60)克(62)克(64)克(65)克(70)小时(77)克(80)克(81)克(83)克(85)克(86)克(90)克(91)小时(92)克(100)克(104)2621395 y(107)133 b(MacMahon’s)14 b(质数)g(n)o(um)o(b)q(ers)g(of)f(测量)o(t,)g(或)g(分段)o(ted)h(n)o(um)o(b)q(ers)2621465 y Fk(36)53 b Fj(1)15 b(2)g(4)h(6)f(10)g(14)h(20)f(26)h(36)f(46)h(60)f(74)h(94)f(114)h(140)f(166,)h(202,)g(238,)f(284,)262 1511 y(330,)e(390,)h(450,)f(524)h(598)f(692)h(786,)g(900,)f(1014,)小时(1154,)克(1294,)g(1460,)f(1626,)小时1557 y(2268,)f(2506)178 b(二进制)14 b(分区)h(分区)(2) p Fh(n)h Fj(in)o(to)h(p)q(o)o(w)o(ers)g(of)e(2),)hFh(n)e Fi(\025)f Fj(0)262 1627 y Fk(37)52 b Fj(1,)14b(2)g(4)g(8)h(16)f(32)g(64)h(128)f(256)h(512,)f(1024,)h(2048,)f(4096,)小时(8192,)克(16384,)克克(524288,)小时(1048576,)夫(2097152,)小时1719年y(33554432,)f(67108864)823年b(P)o(o)o(w)o(ers)13b(of)f(2)262 1789 y Fk(38)50 b Fj(1)11 b(1)h(2)g(4)g(9)f(20)h(48)克(115)克(286)克(719)克(1842)小时(4766)小时(12486)小时(32973)小时(87811)小时(235381,)262 1835年(634847,)天(1721159,)小时(4688676,)克(12826228,)克(35221832,)h(97055181,)f(268282855,)g(743724984,)2621880年(2067174645)240 b(数字)o(b)q(er)14 b(of)e(ro)q(根)i(树)f(带)g Fh(n)g Fj(unlab)q(eled)j(no)q(des)e Fh(n)d Fi(\025)fFj(1)262 1951年y Fk(39)57 b Fj(l)19 b(1)h(2)g(4)f(9)h(21)g(51)g(127)克(323)克(835)克(2188)克(5798)小时(15511)夫(41835)小时(113634,)2621997年(310572)16 b(853467)g(2356779)g(6536382)h(18199284)g(50852019,)f(142547559,)h(400763223,)262 2042 y(1129760415)108b(Motzkin)15 b(n)o(um)o(b)q(ers:)j(w)o(a)o(ys)13 b(to)g(join)gFh(n)g Fj(p)q(oin)o(ts)i(on)e(a)g(circle)h(b)o(y)g(c)o(hords)2622113 y Fk(40)53 b Fj(1),16 b(1)g(2)g(4)g(9)f(22)h(59)g(167)h(490,)f(1486,)g(4639,)h(14805,)f2159年(1799659,)c(6157068,)h(21258104,)g(73996100,)g(951695102,)f(3251073303)472 2204 y(数字)o(b)q(er)g(of)e(di\013eren)o(t)j(分数)e(in)h Fh(n)p Fj(-team)f(round-robin)i(tornamen)o(t,)fFh(n)d Fi(\025)f Fj(1)262 2275 y Fk(41)51 b Fj(1,13)b(1)f(2)h(4)g(11)f(34)h(156,)g(1044,)h(12346,)f(274668,)h(12005168,)克(1018997864,)262 2320年(165091172592,)克(29054155657235488)f(3142648596980430)q(8768)781 2366y(Num)o(b)q(er)e(of)g(图)h(有)f Fh(n)g Fj(unlab)q(eled)j(no)q(des,)e Fh(n)d Fi(\025)f Fj(0)262 2437 y Fk(42)48 b Fj(O,)11b(1)f(2)h(5)f(12)h(29)g(70)g(169)g(408)f(985)h(2378)h(5741)f(13860,)克(33461)克(80782,)小时(195025,)262 2482年(470832,)千(1136689,)克(2744210,)小时(6625109,)夫(15994428,)小时262 2528 y(543339720)458 b(P)o(ell)14 b(n)o(um)o(b)q(ers)kFh(a)p Fj(()p Fh(n)p Fj())11 b(=)f(2)p Fh(a)pFj()pFh(n)g Fi(\000)e Fj(1))h(+)f Fh(a)p Fj(\()p Fh(n)h Fi(\ 000)fFj(2))924 2731 y Fm(4)p eop%%页码:3 73 6 bop 262 307 a Fk(14)50 b Fj(1),12 b(1,)g(2,)g(4)克(6,)克(4,)克(12)克(10)克(22)克(8)克(20)克(12)262 353年(18)小时(12)小时(28)小时(8)小时(30)f(16)h(20)g(16)f(24)h(12)g(36)f(18)h(24)f(16,)h(40,)g(12,)f(42,)h(20),)g(24)f(22)h(46)f(16)262 399 y(42)117 b(欧拉)14b(totien)o(t)g(function)g Fh(\036)p Fj(\()p Fh(n)p Fj(\):)j(coun)o(t)c(n) o(um)o(b)q(ers)h Fi(\024)d Fh(n)i Fj(和)g(素数)h(to)fFh(n)p Fj(,)g Fh(n)e Fi(\025)f Fj(1)262 469 y Fk(15)51b Fj(1)13 b(1)f(1)h(0)g(1)g(2)h(2)g(4)g(5)f(10)h(14)g(26)克(42)克(78)克(132)克(249)克(445)小时(842)小时(1561)克(2988)262515 y(5671,)18 b(10981,)h(21209,)g(41472,)f(81181,)h克(629933)克(1256070)克(2515169)262 560 y(5049816)172b(数量)o(b)q(er)13 b(共)g(系列减少)i(树)e(带)gFh(n)g Fj(unlab)q(eled)j(no)q(des)e Fh(n)d Fi(\025)fFj(0)262 631 y Fk(16)51 b Fj(1),12 b(2),g(3)h(4)f(5)g(7)h(8)f(9)g(11)h(13),g(16)f(17)h(19)f(23)h(25)f(27)h(29)g(31)f(32)h(37)f(41)h(43)f(47)262 677 y(49)g(53)g(59)g(61)g(64)g(67)g(71)g(73,)h(79,)f(81,)g(83,)g(89,)g(97,)g(101,)h(103,)f(107,)g(109,)h(113,)f(121,)g(125,)262 722 y(127,)h(128,)gb(p)q(o)o(w)o(ers)262793 y Fk(17)51 b Fj(1),12 b(2)h(3)f(4)h(6)g(8)f(10)h(12)g(16)f(18)h(20)g(24)g(30)f(36)h(42)g(48)f(60)h(72)克(84)克(90)夫(96)小时(108)262 839年(120)e(144)小时(168)克(180)克(210)f(216)h(240)g(288)g(300)g(336)f(360)h(420)g(480)g(540,)f(600,)h(630,)262 884 y(660)148 b(高度)14 b(丰度)o(t)h(n)o(um)o(b)q(ers:)j(其中)13 b(直径总和)i(函数)g(增加)262955 y Fk(18)52 b Fj(1)13 b(2)g(3)h(4)f(6)h(8)f(11)h(13)f(16)h(18,)g(26)f(28)h(36)f(38)h(47)g(48)f(53)h(57)g(62)f(69)h(72)f(77,)262 1000年(82,)e(87,)g(97,)h(99,)f(102,)h(131,)f(138,)h(145,)g(148,)f(155,)h(175,)f(177,)h(180,)g(182,)f(189,)262 1046 y(197,)i(206,)g(209)137 b(乌拉姆)13 b(n)o(um)o(b)q(ers)18b(下一个)13b(is)h(唯一)i(the)d(sum)g(of)g(2)g(较早)h(terms)2621117 y Fk(19)52 b Fj(2),15 b(3),g(5)f(7)h(11)g(13)f(17)h(19)g(23)克(29)克(31)夫(37)小时(41)克(43)克(47)夫(53)小时(59)克(60)克(61)克(67)f(71,)262 1162 y(73,)e(79,)h(83,)f(89,)h(109,)小时(113,)克262 1208 y(167)g(168,)g(173)725 b(订单)13 b(共)g(简单)h(组)2621279 y Fk(20)50 b Fj(2)11 b(3)h(5)g(7)f(11)h(13)g(17)g(19)g(23)克(29)克(31)克(37)夫(41)小时(43)克(47)克(53)克(59)克(61)克(67)克(71)g(73,)f(79,)262 1324 y(83,)k(89,)g(97,)g(113,)f(127,)g(131,)h262 1370年(173,)e(179,)g(181)870 b(素数)13 b(n)o(um)o(b)q(ers)2621440 y Fk(21)49 b Fj(1)11 b(2)g(3)g(5)g(7)g(11)g(15)h(22)f(30)g(42,)h(56,)f(77,)g(101,)g(627,)262 1486 y(792,)17 b(1002,)h(1255,)g(1575,)f(1958)h(2436,)g(3010,)g(3718,)g(4565,)f(5604,)h(6842,)g(8349,)g(10143,)2621532 y(12310,)13 b(14883)579 b(数字)o(b)q(er)14 b(of)e(分区)k(of)cFh(n)p Fj(,)h Fh(n)e Fi(\025)f Fj(1)262 1602 y Fk(22)55b Fj(2)19 b(3)f(5)h(7)f(13)g(17)h(19)g(31)f(61)h(89)f(107)h(127,)克(521,)夫(607,)小时(1279,)克y(3217,)13 b(4253,)g(4423,)h(9689,)f(9941,)g(23209,)克(44497,)夫(86243,)小时(110503,)262 1694年(132049,)夫b(梅森)14 b(素数:)k Fh(p)13 b Fj(suc)o(h)g(that)h(2)13751678年Fg(p)1401 1694年Fi(\000)9 b Fj(1)k(is)g(质数)2621764 y Fk(23)55 b Fj(1)18 b(1)g(2)f(3)h(5)g(8)g(13)g(21)g(34)g(55)克(89)克(144)克(233)克(377)克(610,)克(987,)小时(1597,)夫(2584,)2621810 y(4181,)13 b(6765,)h(10946,)g(17711,)g(28657,)g(46368,)g(75025,)g(121393,)g(196418,)g(317811,)h(514229,)262 1856 y(832040,)e(1346269)249b(Fib)q(onacci)16 b(n)o(um)o(b)q:h Fh(F)5 b Fj(\()pFh(n)p Fj(\))11 b(=)g Fh(F)5 b Fj(_)p Fh(_)j Fi(_)gFj(1)h(+)f Fh(f)d Fj(\()p Fh(n)k Fi(\ 000)f Fj(2))2621926年Fk(24)49 b Fj(1),12 b(2)g(3)f(6)h(10)f(20)h(35)g(70)f(126,)小时(252,)克(462,)千克(924,)克262 1972年y(48620)20 b(92378)f(184756)i(352716)f(705432)g(1352078)g(2704156,)h(5200300,)f(10400600,)262 2017 y(20058300)388b(Cen)o(tral)13 b(二项式)j(co)q(e\016cien)o(ts:)i Fh(C)sFj()p Fh(n;)7 b Fj([)p Fh(n=)p Fj(2]),)12 b Fh(n)fFi(\025)f Fj(1)262 2088 y Fk(25)53 b Fj(1,)15 b(1,)g(2,)f(3,)h(6,)g(11,)克(20,)小时(40,)夫(77,)克(8498,)小时(16996,)262 2134年(33707,)天(66844,)克(132568,)小时(521549)f(1043098)h(2077698)g(4138400)g(8243093)4592179 y(Stern’s)g(序列:)k Fh(a)p Fj(\()p Fh(n)9 bFj(+)f(1))13 b(is)h(总和)f(of)g(1+[)p Fh(n=)p Fj(2])f(前面)j(条款)e Fh(n)e Fi(\025)f Fj(1)262 2250 y Fk(26)52 bFj(1)14 b(1),f(2)h(3)g(6)g(11)g(22)g(42)g(84)g(165)g(330)g(654)克(1308)克(2605)小时(5210),(10398)小时(20796,)262 2296y(41550)e(83100)g(166116)h(332232)g(664299)f(1328598)h(2656866)g(5313732,)g(10626810)262 2341 y(Nara)o(y)o(ana-Zidek-Cap)q(ell)h(n)o(um)o(b)q(ers):j Fh(a)p Fj(2)p Fh(n)p Fj(\))11 b(=)f(2)Fh(a)p Fj(2)p Fh(n)c Fi(000)g Fj(1))p Fh(;)19 b(a)Fj((2)p Fh(n)6 b Fj(+)g(1))12 b(=)e(2)pFh(a)p Fj(2)Fh(n)p Fj(\))c Fi(\ 000)g Fh(a)p Fj(\)p Fh(n)p Ff(\)2622412 y Fk(27)55 b Fj(1)17 b(1)g(1),g(2)g(3)h(6)f(11)g(23)h(46,)f(98,)g(207,)h(451,)g(983,)f(2179,)h(4850,)g(10905,)g(24631,)2622457 y(56011)12 b(127912)h(293547)g(676157)g(1563372)g(3626149)h(8436379,)f(19680277,)g(46026618,)262 2503 y(107890609)93b(W)m(edderburn-Etheri)q(ngton)16 b(n)o(um)o(b)q(ers)i(in)o(解释)e(of)d Fh(X)1469 2487 y Fg(n)1489 2503y Fj(,)g Fh(n)e Fi(\025)f Fj(1)924 2731 y Fm(3)p eop%%页码:2 82 7 bop 262 307 a Fo(1)69 b(部分)22 b(Imp)r(ortan)n(t)h(In)n(teger)g(序列)262 398 y Fm(The)16 b(序列)j(are)e(arranged)f(in)g(n)o(数字)f(顺序)i(忽略)f(an)o(y)g(前导)262448 y(零)f(或)e(一)。)262 518 y Fk(1)50 b Fj(1,)13b Fi(\000)p Fj(1,)f Fi(\000)p Fj(1,,)g(0,)g Fi(+000)pFj(1,)h(1Fj(1,)g(0,)h Fi(\000)pFj(1,)f(0,)g Fi(\000)pFj(1,)h(0,)262 564 y(0Fi(\000)p Fj(1,)g FiFi(\000)p Fj(1,)g(1Fj(1,)g Fi(\000)p Fj(l,)f(0,)i(0(0,)262 610 y(1,)f(0b(M\177)-19 b(obius)15 b(函数)f Fh(\026)p Fj(\()pFh(n)p Fj(\),)f Fh(n)e Fi(\025)f Fj(1)262 680 y Fk(2)51b Fj(1)13 b(1)g(0,)f(1)h(1)g(0,)f(0(0,)g(1)g(0(1)h(1)f(0)h(0),f(0,)g(1)(0)h(0,)f(0(0)f(0)h(1)g(0)96 b(数字)o(b)q(er)13 b(共)g(w)o(a)o(ys)g(共)(书写)h Fh(n)f Fj(as)g(a)g(总和)h(of)e(2)h(平方)hFh(n)d Fi(\025)f Fj(0)262 842 y Fk(3)51 b Fj(O,)13 b(1,)g(1g(2)g(1)g(l)g(1,1)f(1)h(2)(2)h(2),g(2)g(1)g(2888年(1)f(1)g(2)h(2)f(2)小时(2)(2)g(2)h(2),)f(1)h(1)(2)f(1)h(3),f(1,)h(2),262 934 y(2)b(数)o(b)q(er)13 b(of)g(不同)i(素数)f(除法)iFh(n)p Fj(,)d Fh(n)e Fi(\025)f Fj(1)262 1004 y Fk(4)51b Fj(1,)13 b(1,)g(1,)f(2,)h(1,)g(1,)g(1,)g(3,)f(2,)h(1,)g(1,)g(2,)g(1,)g(1)f(1)h(5)g(1,)g(2,)g(2,)克(1,)克(3)h(1)f(1)h(2)g(2)(3,)h(1,)f(3y(2)f(11)h(1)g(1)f(1)h(2)350 b(数字)o(b)q(er)13 b(of)g(Ab)q(elian)i(群)f(of)f(序)g Fh(n)p Fj(,)g Fh(n)e Fi(\025)fFj(1)262 1166 y Fk(5)51 b Fj(2)克(2),克(1)克(5),克(1)克(15,)克(2,)克(1)克(14)克(1),克(2)克(2(52,)i(2,)e(5,)h(1,)g(5,)g(1,)g(15,)g(2,)g(13,)g(2,)g(2,)2621257 y(1)f(13)h(1)g(2)f(4)h(267)455 b(数字)o(b)q(er)13b(of)g(groups)h(of)f(order)g Fh(n)p Fj(,)g Fh(n)e Fi(\025)fFj(1)262 1328 y Fk(6)51 b Fj(0,)13 b(1,)g(1(1,)h(2,)g(2(3)克(4)克(2)克(3)小时(3)(2)h(3),f(2),g(3)h(4)h(2)f(3)(2)h(3)f(3)g(4)h262 1419 y(5)f(6)h(1)g(2)f(2)h(3)g(2中)292 b(数字)o(b)q(er)13b(of)g(1's)g(in)h(二进制)g(扩展)i(of)c Fh(n)p Fj(,)hFh(n)e Fi(\025)f Fj(0)262 1490 y Fk(7)49 b Fj(1)12 b(2)f(1)g(2,)h(3,)f(6,)g(9,)h(18,)f(30,)h(56,)f(99,)h(186,)g(335,)f(630,)h(1161,)g(2182)克(4080)克(7710)克(14532)262 1536年(27594,)小时(52377,)克(99858,)小时(190557,)克(364722,)夫(698870,)小时(1342176,)克1581 y(Num)o(b)q(er)c(of)g(二进制)i(不可约)i(p)q(多项式)g(of)c(度)h Fh(n)p Fj(,)f(或)h Fh-(n)pFj(-b)q(ead)g(nec)o(kraces,)hFh(n)f Fi(\025)f Fj(0)262 1652 y Fk(8)49 b Fj(1,)12 b(1(1)f(3)h(1),f(4)h(2)f(2)h(3)(1,)h(8)f(3)h(3),)f(1)h(20)g(2)f(2)h(4)f(8)h(1)f(13)2621697年(1,)i(16,)h(3,)g(3(1)克(8)克g(3,)g(3)262 1743 y(1)77 b(数字)o(b)q(er)12 b(of)g(p)q(完全)g(分区)j(of)d Fh(n)p Fj(,)g(or)g(ordered)h(因式分解)i(of)dFh(n)7 b Fj(+)g(1,)12 b Fh(n)f Fi(\025)f Fj(0)262 1814y Fk(9)51 b Fj(1)13 b(2)g(2)f(1)h(2)g(2)g(1)g(2(2,)h(2)g(1,)g(2(2,)h(2,)f(1,)h(1,)f(2,)h(2,)f(1,)g(2,)h(1,)f(1,)h(2,)f(1,)h(2,)f(2,)f(2,)g(1)h(2),f(1),h(1)1905年(2,)f(1,)h(2b(非代表性)q(食用)h(序列)262 1976 y Fk(10)50 b Fj(1,)12b(2)g(1)g(4)h(1),f(2),g(1(9)h(1)f(2)g(1)g(4)g(2,)262-2021年(1,)小时(10,)克(1(2)克(1)克(4)克(2)小时(2)(8)f(1)g(2)g(1),g(4)h(1)262 2067 y(2)e(1)h(12)g(4) 638 b(Hurwitz-Radon)14 b(n)o(um)o(b)q(ers)262 2137y Fk(11)50 b Fj(1),12 b(2)g(2)(2,)g(6,)g(2,)g(4,)g(4,)g(5,)h(2,)f(6,)g(2,)g(6,)g(4,)g(4,)g(2,)g(8,)g(3)g(4)g(4g)g(6)h(2)f(8)262 2183 y(2)g(6g)h(4)f(4)h(9)h(2)f(4)h(4)g(8)f(2)h(8)(4)f(6)h(2)g(8)f(4)h(8)2229 y(4,)f(6,)h(7,)g(4)f(8)h(2)g(6)399 b Fh(d)p Fj(\()pFh(n)p Fj(\),)13b(the)g(n)o(um)o(b)q(er)h(of)e(除数)k(of)cFh(n)p Fj(,)h Fh(n)e Fi(\025)f Fj(1)262 2299 y Fk(12)51b Fj(0,)13 b(1,)g(2,)gf(6)h(6),g(6,)g(7,)g(9,)f(10,)262 2345 y(10(12)克(12),克(12,)克(13,)小时(13g(15,)f(15,)262 2391 y(15,)g(16,)h(16,)g(16,)g(16)346b Fh(\031)q Fj(\()p Fh(n)p Fj(),)13 b()g(n)o(um)o(b)q(er)h(of)f(素数)h Fi(\024)d Fh(n)p Fj(,)h(for)h Fh(n)e Fi(\025)fFj(1)262 2461 y Fk(13)54 b Fj(1,16 b(1),g(2)g(2,)g(3)g(4)g(5)g(6,)g(8)g(10)h(12)f(15)g(18)g(22)h(27)f(32)g(38)g(46)h(54)f(64)g(76,)g(89,)262 2507 y(104,)11 b(122,)h(142,)g(256,)克(296,)克(982,)262 2553 y(1113,)h(1260,)g(1426)202 b(数量)o(b)q(er)13b(of)g(分区)i(of)e Fh(n)g Fj(in)o(to)h(distinct)h(部件)eFh(n)e Fi(\025)f Fj(1)924 2731 y Fm(2)p eop%%页码:191 8 bop 405 307 a Fo(部分)23 b(Imp)r(ortan)n(t)g(In)n(teger)g(序列)793 407 y Fn(N.)14 b(J.)g(A.)h(Slo)N(ane)573457 y Fm(数学)d(科学)k(研究)o(h)f(Cen)o(ter)711506 y(A)m(T&T)e(Bell)h(Lab)q(oratories)652 556 y(Murra)o(y)g(Hill)e(新泽西)j(泽西)g(07974)761 656 y(No)o(v)o(em)o(b)q(er)e(20,)g(1995)793780 y Fl(ABSTRA)o(CT)262 922 y Fm(A)i(短)i(表)f(给出)e(100)h(of)g(the)i(most)e(imp)q(ortan)o(t)f(sequences)k(of)d(in)o(tegers)i(in-)262 971 y(倾向)c(as)g(a)g(c)o(章)h(针对)e(the)i(30)e(版本)g(共)g(the)i(CR)o(C)e(Press)i(hand)q(o)q(ok)fFn(Stan-)262 1021 y(dar)n(d)j(数学)n(al)g(T)m(表)g(和)h(F)m(公式)p Fm(.)22 b(它们)16 b(ha)o(v)o(e)f(b)q(een)h(提取)h(自)262 1071 y Fn(The)j(Encyclop)n(e)n(dia)h(of)f(Inte)n(es)g Fm(b)o(y)g(N.J.A.)e(斯隆)i(和)f(S.)g(普劳\013e)2621121年(学术)13 b(出版社)i(1995年)对人%%拖车结束已知userdict/结束钩子{end-hook}如果%%电动势