cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-9 of 9 results.

A206885 Number of nX4 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

12, 144, 1103, 7878, 51800, 330951, 2070564, 12830802, 79045687, 485544940, 2977554668, 18243896709, 111730524932, 684100356564, 4188038973519, 25637266851722, 156933921465968, 960624347689059, 5880116589637756
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Column 4 of A206889

Examples

			Some solutions for n=4
..0..0..0..1....1..0..0..1....1..0..1..1....1..0..0..1....0..1..1..0
..1..0..1..1....0..1..1..0....1..1..0..0....1..0..0..0....0..0..1..1
..0..0..1..1....1..1..0..1....1..1..1..1....1..1..1..1....0..1..1..1
..1..1..0..0....1..0..1..1....1..0..1..1....1..0..1..1....1..0..0..0
		

Formula

Empirical: a(n) = 11*a(n-1) -14*a(n-2) -193*a(n-3) +496*a(n-4) +1310*a(n-5) -4382*a(n-6) -4486*a(n-7) +18762*a(n-8) +8132*a(n-9) -44696*a(n-10) -6382*a(n-11) +61529*a(n-12) -2253*a(n-13) -48436*a(n-14) +8149*a(n-15) +20392*a(n-16) -5560*a(n-17) -3842*a(n-18) +1352*a(n-19) +192*a(n-20) -80*a(n-21)

A206886 Number of nX5 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

21, 441, 5357, 59812, 607043, 5963040, 57268342, 544455870, 5145953202, 48496979643, 456336864550, 4290529415423, 40323106384871, 378881102825949, 3559611742043731, 33440802573235066, 314150208927203377
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Column 5 of A206889

Examples

			Some solutions for n=4
..1..0..1..1..0....0..0..0..1..1....1..0..1..1..1....1..1..1..1..1
..1..1..1..0..0....1..1..1..0..1....0..1..1..0..1....0..1..1..1..1
..1..1..0..1..1....1..0..1..1..0....1..1..0..1..1....1..1..1..1..1
..0..0..1..1..1....1..1..0..0..1....1..1..1..0..1....0..1..1..1..1
		

Formula

Empirical: a(n) = 19*a(n-1) -53*a(n-2) -919*a(n-3) +5094*a(n-4) +17034*a(n-5) -146605*a(n-6) -135493*a(n-7) +2291102*a(n-8) -55688*a(n-9) -22745288*a(n-10) +11388816*a(n-11) +153841613*a(n-12) -119040421*a(n-13) -734469299*a(n-14) +698124793*a(n-15) +2516801724*a(n-16) -2731404740*a(n-17) -6212206591*a(n-18) +7532624063*a(n-19) +10946419938*a(n-20) -14922586530*a(n-21) -13420309714*a(n-22) +21251997154*a(n-23) +10802691232*a(n-24) -21497939840*a(n-25) -4872687712*a(n-26) +15092347688*a(n-27) +350777984*a(n-28) -7105176368*a(n-29) +864704896*a(n-30) +2144653264*a(n-31) -475489632*a(n-32) -393937600*a(n-33) +113200032*a(n-34) +41328672*a(n-35) -13403968*a(n-36) -2255616*a(n-37) +739584*a(n-38) +51712*a(n-39) -14336*a(n-40)

A206887 Number of nX6 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

37, 1369, 26564, 467146, 7354488, 111550389, 1648854501, 24096775331, 349827799256, 5062343592602, 73127922009164, 1055427131628393, 15225318552789145, 219582635230727823, 3166452672620412472
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Column 6 of A206889

Examples

			Some solutions for n=4
..1..0..0..1..1..0....1..0..0..0..1..1....0..0..1..1..1..0....0..1..1..1..0..0
..0..1..1..1..0..1....0..0..0..0..1..1....0..1..1..0..1..1....1..0..1..1..1..0
..1..0..1..1..1..1....1..1..1..1..0..1....0..0..1..1..1..0....1..1..0..0..1..1
..0..1..1..1..1..1....0..0..0..0..1..1....1..1..1..1..0..1....1..1..1..1..0..1
		

Formula

Empirical: a(n) = 31*a(n-1) -118*a(n-2) -4941*a(n-3) +42891*a(n-4) +329013*a(n-5) -4389614*a(n-6) -11015298*a(n-7) +254947573*a(n-8) +116299407*a(n-9) -9970009526*a(n-10) +6232383661*a(n-11) +284319114966*a(n-12) -362600178892*a(n-13) -6192226795039*a(n-14) +10498623298849*a(n-15) +106105206438574*a(n-16) -209916160328134*a(n-17) -1459793440200552*a(n-18) +3173836722972388*a(n-19) +16357600553349234*a(n-20) -37839821954277278*a(n-21) -150817070763207688*a(n-22) +364405728452370378*a(n-23) +1152469111188528535*a(n-24) -2878734270085196821*a(n-25) -7335451766095586044*a(n-26) +18852349988904094689*a(n-27) +39015331773746188307*a(n-28) -103100182767105600743*a(n-29) -173694523502979906970*a(n-30) +473246656562621294770*a(n-31) +647456477812498243313*a(n-32) -1829433889433612022969*a(n-33) -2018598663924048346882*a(n-34) +5968055534223518019193*a(n-35) +5250653334203324152348*a(n-36) -16445675976729504231926*a(n-37) -11346568957997291817631*a(n-38) +38282895921249038405123*a(n-39) +20239152344335058353372*a(n-40) -75233512572445589832520*a(n-41) -29508625835421083634488*a(n-42) +124664601198094769081684*a(n-43) +34630727582619197593176*a(n-44) -173893473205145205056272*a(n-45) -31858243979750136271688*a(n-46) +203787430706487107991312*a(n-47) +21758643701140533849120*a(n-48) -200203336284712265558128*a(n-49) -9433288190584009859840*a(n-50) +164484228170906514760224*a(n-51) +510051340500177508960*a(n-52) -112715519170670359625536*a(n-53) +2965085079974770540160*a(n-54) +64225287712011939025344*a(n-55) -2704934524482554318464*a(n-56) -30311571306479580405760*a(n-57) +1377967132019184123008*a(n-58) +11788023251426120534528*a(n-59) -444471335586219781632*a(n-60) -3750362523431963223808*a(n-61) +77053826239418900224*a(n-62) +966254973498764825344*a(n-63) +3855607098939135488*a(n-64) -198745183825235010560*a(n-65) -6684790903303737344*a(n-66) +31993113846981394432*a(n-67) +2113958102384066560*a(n-68) -3921119712759218176*a(n-69) -388983178932649984*a(n-70) +352086494564515840*a(n-71) +46252720976429056*a(n-72) -21914914871574528*a(n-73) -3542612258586624*a(n-74) +868500304297984*a(n-75) +165236086669312*a(n-76) -18881078886400*a(n-77) -4143301263360*a(n-78) +158645354496*a(n-79) +40802189312*a(n-80)

A206888 Number of nX7 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

65, 4225, 130828, 3619683, 88342972, 2067672443, 47015346159, 1055711535814, 23532283930933, 522710080189316, 11588335111405673, 256664132470888238, 5681796685012635460, 125745518448573773703, 2782522570829447521632
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Column 7 of A206889

Examples

			Some solutions for n=4
..0..1..1..1..0..0..0....0..1..1..1..0..0..1....0..0..0..0..0..1..1
..1..0..0..1..1..0..0....0..0..1..1..1..1..0....1..1..1..0..0..0..1
..0..1..1..1..0..0..0....0..1..1..1..1..1..1....0..0..1..1..1..1..0
..1..1..1..0..1..1..0....0..1..1..1..0..1..1....1..1..0..0..1..1..1
		

A206890 Number of 4Xn 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

12, 144, 1112, 7878, 59812, 467146, 3619683, 27856426, 214439388, 1653053388, 12745491312, 98247659290, 757270935480, 5837067310185, 44993325501460, 346816977981142, 2673316454328453, 20606310351329382, 158836581856928905
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Row 4 of A206889

Examples

			Some solutions for n=4
..1..0..0..0....1..0..0..1....0..1..1..1....1..0..1..1....0..0..1..1
..0..1..1..0....0..1..1..0....0..0..1..1....1..1..1..1....0..0..1..1
..1..0..1..1....1..1..0..1....1..1..1..0....0..1..1..1....1..1..0..0
..1..1..1..1....1..0..1..1....0..1..1..1....1..1..0..0....1..1..1..1
		

Formula

Empirical: a(n) = 10*a(n-1) -45*a(n-2) +229*a(n-3) -218*a(n-4) +252*a(n-5) +4284*a(n-6) -13089*a(n-7) +3791*a(n-8) +11569*a(n-9) -213388*a(n-10) +260583*a(n-11) +666011*a(n-12) -920482*a(n-13) +2316886*a(n-14) +1153148*a(n-15) -19066932*a(n-16) -2877461*a(n-17) +45161671*a(n-18) +12663738*a(n-19) -32021544*a(n-20) -21458469*a(n-21) -43223410*a(n-22) +3294189*a(n-23) +77036208*a(n-24) +23573846*a(n-25) +2828063*a(n-26) -12109495*a(n-27) -59453958*a(n-28) -11713631*a(n-29) +8381537*a(n-30) +5628040*a(n-31) +26008202*a(n-32) +3592611*a(n-33) -1894784*a(n-34) -982584*a(n-35) -6505534*a(n-36) -624915*a(n-37) -435627*a(n-38) +65742*a(n-39) +750118*a(n-40) +52218*a(n-41) +125258*a(n-42) -3547*a(n-43) -31348*a(n-44) -2379*a(n-45) -6806*a(n-46) +95*a(n-47) +594*a(n-48) +36*a(n-49) +133*a(n-50) -6*a(n-52) -a(n-54)

A206891 Number of 5Xn 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

20, 400, 4792, 51800, 607043, 7354488, 88342972, 1052865902, 12550021410, 149829237791, 1789228772267, 21361035307546, 254996432939040, 3044109171852296, 36341089959264948, 433845306322806048
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Row 5 of A206889

Examples

			Some solutions for n=4
..0..1..1..0....1..0..1..1....0..0..1..1....1..1..1..1....1..0..1..1
..1..1..0..1....1..1..1..1....0..0..1..1....1..1..0..0....1..0..1..1
..0..0..1..1....0..1..1..1....1..0..0..0....0..0..1..1....0..0..0..0
..1..1..1..0....1..1..0..0....0..1..1..1....1..1..0..0....1..0..1..1
..0..1..1..1....0..1..1..1....1..0..1..1....1..0..1..1....1..1..0..1
		

A206892 Number of 6Xn 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

33, 1089, 20129, 330951, 5963040, 111550389, 2067672443, 37988878275, 698017127422, 12848172794534, 236570382445377, 4354636068325921, 80147467353233653, 1475176781227114397, 27152663805860158867
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Row 6 of A206889

Examples

			Some solutions for n=4
..1..1..1..1....0..1..1..1....0..0..0..1....1..1..1..0....0..0..1..1
..1..1..1..1....1..0..1..1....0..1..1..0....1..0..1..1....0..1..1..0
..1..1..1..1....1..1..0..1....1..0..1..1....0..1..1..1....1..0..1..1
..1..1..1..1....1..1..1..1....1..1..0..1....1..0..1..1....1..1..0..0
..1..0..1..1....0..1..1..0....1..1..1..0....1..1..0..1....1..0..1..1
..1..1..1..1....1..0..1..1....0..0..0..1....0..1..1..1....1..1..0..0
		

A206893 Number of 7Xn 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

54, 2916, 82807, 2070564, 57268342, 1648854501, 47015346159, 1328156697136, 37521598580023, 1061970530807292, 30067564211434697, 851046751948225835, 24085315991411166967, 681659412649184727059, 19292878589062169424679
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Row 7 of A206889

Examples

			Some solutions for n=4
..0..1..1..0....0..1..1..0....1..1..0..0....1..0..1..1....1..1..0..0
..0..1..1..1....1..0..1..1....0..0..0..1....1..1..1..1....1..1..0..0
..0..1..1..1....1..1..0..1....1..1..1..1....1..1..1..1....0..0..0..1
..0..1..1..0....1..1..1..0....1..0..1..1....1..1..1..1....1..1..1..1
..1..0..1..1....0..0..0..1....1..1..0..0....1..1..1..1....0..0..1..1
..1..1..0..1....1..1..1..1....0..0..1..1....1..0..1..1....1..1..0..0
..0..0..1..1....0..0..0..0....1..1..1..0....1..1..1..1....1..1..1..1
		

A206884 Number of n X n 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically.

Original entry on oeis.org

2, 16, 240, 7878, 607043, 111550389, 47015346159, 45805591252624, 104403459975101887, 559553426119779395361, 7050914050087672286282505, 208939006267581096192535752843, 14569335412372326231761169576376298
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Diagonal of A206889

Examples

			Some solutions for n=4
..0..0..1..1....1..0..1..1....0..0..1..1....0..1..1..1....1..0..0..0
..1..0..0..0....1..1..1..1....0..0..1..1....0..0..1..1....0..1..1..0
..0..1..1..1....0..1..1..1....1..1..0..0....1..1..1..0....1..0..1..1
..1..0..1..1....1..1..0..0....1..1..1..1....0..1..1..1....1..1..1..1
		
Showing 1-9 of 9 results.