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 1-10 of 13 results. Next

A205747 Number of (n+1)X3 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

48, 284, 1936, 12384, 82992, 542718, 3602578, 23691830, 156738676, 1033041690, 6824741078, 45020426618, 297261797768, 1961609742846, 12949334504402, 85463493135422, 564128280317020, 3723357621326818, 24576331604189646
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Column 2 of A205753

Examples

			Some solutions for n=4
..0..1..2....0..0..0....0..0..1....0..1..0....0..0..0....0..0..0....0..0..1
..0..1..2....0..1..0....2..0..1....0..0..0....0..0..0....1..2..1....0..1..1
..1..2..1....1..2..1....0..1..0....1..2..1....0..1..0....1..1..1....2..2..0
..2..2..1....2..2..1....1..1..0....0..1..2....1..2..1....1..1..1....1..2..0
..1..0..0....1..0..0....0..2..2....0..1..1....2..2..1....1..2..1....2..1..2
		

Formula

Empirical: a(n) = 33*a(n-2) +76*a(n-3) +13*a(n-4) -284*a(n-5) -597*a(n-6) +484*a(n-7) +1376*a(n-8) +36*a(n-9) -752*a(n-10) -256*a(n-11) for n>12

A205748 Number of (n+1)X4 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

175, 1074, 8926, 63838, 507035, 3797920, 29561841, 224378004, 1731531322, 13218640560, 101623450551, 777700795868, 5969371745835, 45729619667448, 350767461372176, 2688316203091256, 20614685172668943, 158022715770190920
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Column 3 of A205753

Examples

			Some solutions for n=4
..0..1..0..2....0..1..1..0....0..1..0..2....0..0..1..0....0..1..2..0
..2..2..0..1....1..1..0..0....2..0..1..0....0..1..1..1....2..0..1..2
..2..0..0..1....0..2..2..1....1..0..2..2....0..2..0..2....0..0..1..1
..2..1..2..1....2..2..1..1....0..0..2..0....2..2..0..0....1..2..2..0
..1..2..0..2....1..0..0..2....2..1..1..1....0..1..1..2....1..2..0..0
		

Formula

Empirical: a(n) = 54*a(n-2) +120*a(n-3) -417*a(n-4) -1856*a(n-5) -569*a(n-6) +11608*a(n-7) +19462*a(n-8) -37804*a(n-9) -97827*a(n-10) +69396*a(n-11) +253384*a(n-12) -49104*a(n-13) -366356*a(n-14) -46288*a(n-15) +244448*a(n-16) +127408*a(n-17) +41532*a(n-18) -58496*a(n-19) -119360*a(n-20) -44544*a(n-21) for n>22

A205749 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

677, 4256, 45985, 383290, 3869807, 34977686, 341919297, 3167656992, 30455717868, 285553796676, 2723341716429, 25674383048106, 243954861350237, 2305675383712232, 21870813304967748, 206946895127931564
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Column 4 of A205753

Examples

			Some solutions for n=4
..0..1..0..2..1....0..0..0..1..2....0..1..0..0..2....0..1..2..0..2
..2..0..1..0..2....2..0..1..1..2....0..0..0..2..2....2..0..1..2..0
..2..0..0..0..0....1..0..2..0..2....1..2..1..1..0....2..0..1..2..0
..1..1..2..1..2....2..1..0..2..0....2..2..1..0..0....1..2..0..1..2
..0..1..1..1..1....1..1..0..2..2....1..0..1..2..1....2..2..0..1..1
		

Formula

Empirical: a(n) = 94*a(n-2) +224*a(n-3) -1907*a(n-4) -8150*a(n-5) +10705*a(n-6) +124700*a(n-7) +82378*a(n-8) -1059534*a(n-9) -1527048*a(n-10) +5445072*a(n-11) +9604580*a(n-12) -16870180*a(n-13) -32117532*a(n-14) +25187094*a(n-15) +64243155*a(n-16) +26146616*a(n-17) -150298259*a(n-18) -238127706*a(n-19) +755126038*a(n-20) +549144126*a(n-21) -2951195030*a(n-22) +81937254*a(n-23) +6864564730*a(n-24) -5117346094*a(n-25) -10722653002*a(n-26) +19558605066*a(n-27) +16502068621*a(n-28) -41383934136*a(n-29) -31092444251*a(n-30) +53901337928*a(n-31) +50250588034*a(n-32) -38281275980*a(n-33) -50842720265*a(n-34) +3271793248*a(n-35) +22060769364*a(n-36) +16479155596*a(n-37) +8369893040*a(n-38) -10071578040*a(n-39) -13997336448*a(n-40) +114765472*a(n-41) +5630448384*a(n-42) +1349974528*a(n-43) -717565952*a(n-44) -252968960*a(n-45) for n>46

A205750 Number of (n+1)X6 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

2709, 16986, 240448, 2244622, 28155907, 292986186, 3496020388, 37842800738, 438825319336, 4848489973070, 55418134307368, 618474318718042, 7019335919990083, 78727055787609808, 890377168567158601
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Column 5 of A205753

Examples

			Some solutions for n=4
..0..0..0..0..1..0....0..0..1..2..0..0....0..0..0..0..1..2....0..0..0..0..0..1
..1..2..1..2..1..2....1..0..1..2..0..1....0..1..1..1..1..1....2..1..2..1..2..1
..0..1..2..1..0..1....0..1..0..1..2..0....2..2..0..2..0..2....0..2..0..2..1..2
..0..1..1..1..0..1....0..0..0..1..2..2....2..0..0..0..0..0....0..2..2..2..2..2
..0..2..0..2..2..1....2..1..2..1..0..1....1..1..2..1..2..1....0..1..0..1..0..1
		

Formula

Empirical: a(n) = 165*a(n-2) +380*a(n-3) -8449*a(n-4) -32700*a(n-5) +209997*a(n-6) +1280168*a(n-7) -2521216*a(n-8) -30498036*a(n-9) -1986324*a(n-10) +496223906*a(n-11) +637544766*a(n-12) -5821618842*a(n-13) -12846281741*a(n-14) +49987445392*a(n-15) +155754796870*a(n-16) -302308475170*a(n-17) -1335326933446*a(n-18) +1028149866852*a(n-19) +8334088558100*a(n-20) +1960513007538*a(n-21) -35600330979936*a(n-22) -57858381446140*a(n-23) +66778771551109*a(n-24) +479910855937396*a(n-25) +414116167464695*a(n-26) -2638316327589526*a(n-27) -5047517588550728*a(n-28) +10630803862989904*a(n-29) +30337297998500973*a(n-30) -30928098542298922*a(n-31) -129196923994163371*a(n-32) +54719966562238936*a(n-33) +415347267790418904*a(n-34) +11028828829210054*a(n-35) -995713730843228592*a(n-36) -469652547043613002*a(n-37) +1600429292634336996*a(n-38) +1831946364796640492*a(n-39) -826871983512349911*a(n-40) -4197794343557749320*a(n-41) -4254387590714820143*a(n-42) +5831070085721084826*a(n-43) +16375202007437997449*a(n-44) -2453354200292497872*a(n-45) -34022466446468923946*a(n-46) -10003326926566441290*a(n-47) +50278861331888190347*a(n-48) +30928726044750954156*a(n-49) -60594593338396084192*a(n-50) -58198131212037044910*a(n-51) +70662364010956003123*a(n-52) +99795055133047251104*a(n-53) -83708134374049452966*a(n-54) -168372624992074465042*a(n-55) +77459155483913199152*a(n-56) +243868545253705326708*a(n-57) -21104610148526603930*a(n-58) -258459190800922884586*a(n-59) -68328730887602556130*a(n-60) +162832747269885969492*a(n-61) +121752278857254098032*a(n-62) -2768870106486680992*a(n-63) -97357565570176640134*a(n-64) -116722132505248334052*a(n-65) +30076175515043615798*a(n-66) +139645534902437413848*a(n-67) +19455276219907148456*a(n-68) -94683395027879269040*a(n-69) -29902093553118798164*a(n-70) +38905246637470392712*a(n-71) +18014751134975588864*a(n-72) -4541680947838747408*a(n-73) -4503004949424671736*a(n-74) -6314207263245469184*a(n-75) -2005185767405990976*a(n-76) +4898674935484730752*a(n-77) +2442936602163377392*a(n-78) -1536835683823170432*a(n-79) -924625377851893280*a(n-80) +59516248019209728*a(n-81) +36852307100678272*a(n-82) +118921077781794560*a(n-83) +93347456725239296*a(n-84) -40328899685050368*a(n-85) -31496518832852992*a(n-86) +6257832132935680*a(n-87) +3383110320586752*a(n-88) -519746557575168*a(n-89) +835775889408*a(n-90) for n>94

A205751 Number of (n+1)X7 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

11143, 68692, 1320659, 14131118, 233316016, 2917623614, 45262306396, 599332178604, 8912114399864, 121869298507748, 1770968194811994, 24619794382545970, 353501675583395156, 4957479622063690252
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Column 6 of A205753

Examples

			Some solutions for n=4
..0..0..1..2..2..2..1....0..0..1..2..0..0..1....0..1..0..1..1..2..0
..2..0..1..1..2..1..1....0..1..1..2..2..0..1....2..1..2..2..0..2..1
..1..0..2..0..2..0..2....2..2..0..0..1..0..2....1..1..1..2..2..2..1
..2..1..0..1..0..1..0....1..2..2..0..0..0..0....0..2..0..0..1..0..1
..1..1..0..1..0..1..0....1..0..1..1..2..1..2....0..2..2..0..0..0..0
		

A205752 Number of (n+1)X8 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

46709, 279504, 7401826, 88143754, 1885888870, 26828234464, 528507252157, 8142071823898, 150897062896760, 2433101515248386, 43576907137276890, 720763526062990940, 12660252875952041246, 212486499238257674586
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Column 7 of A205753

Examples

			Some solutions for n=4
..0..1..1..0..2..2..1..0....0..0..1..1..0..2..1..2....0..0..0..1..0..0..2..0
..0..0..0..0..0..2..1..1....2..0..1..0..0..2..1..1....1..0..1..1..1..0..0..0
..1..2..1..2..1..2..0..2....1..0..2..2..1..2..0..2....2..2..2..0..2..2..1..2
..2..2..2..2..1..2..0..2....0..0..0..2..1..2..2..2....0..0..0..0..2..1..1..1
..1..0..1..0..0..2..1..1....1..2..1..2..0..0..1..0....2..1..2..1..2..0..2..0
		

A205754 Number of 3X(n+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

74, 284, 1074, 4256, 16986, 68692, 279504, 1143842, 4699050, 19364230, 79981548, 330948764, 1371291912, 5688057508, 23613366558, 98091679448, 407685449946, 1695079113772, 7050018583818, 29329074681854, 122037419381370
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Row 2 of A205753

Examples

			Some solutions for n=4
..0..0..1..2..0....0..1..1..0..1....0..0..0..0..0....0..1..1..1..0
..1..0..1..2..0....0..0..0..0..0....1..0..1..0..1....0..1..2..1..0
..2..1..2..0..1....0..0..0..0..0....0..1..2..1..0....1..2..0..2..1
		

Formula

Empirical: a(n) = 8*a(n-1) -2*a(n-2) -98*a(n-3) +73*a(n-4) +496*a(n-5) -196*a(n-6) -1120*a(n-7) -54*a(n-8) +813*a(n-9) +171*a(n-10) -90*a(n-11)

A205755 Number of 4X(n+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

413, 1936, 8926, 45985, 240448, 1320659, 7401826, 42660605, 250029914, 1490326011, 8987278254, 54752835613, 336083185542, 2075776885383, 12881680165752, 80247514417805, 501418885256186, 3140749716392509
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Row 3 of A205753

Examples

			Some solutions for n=4
..0..1..1..0..2....0..0..1..1..1....0..0..0..0..0....0..0..0..0..0
..1..1..0..0..0....0..1..1..2..1....1..2..1..2..1....0..0..0..0..0
..0..2..2..1..2....0..2..0..0..0....0..1..2..0..2....0..1..0..2..2
..2..2..1..1..1....2..2..0..1..1....0..1..2..2..2....2..2..0..1..0
		

Formula

Empirical: a(n) = 31*a(n-1) -302*a(n-2) -271*a(n-3) +23749*a(n-4) -108380*a(n-5) -603394*a(n-6) +5989927*a(n-7) +1244801*a(n-8) -157362040*a(n-9) +302592485*a(n-10) +2460146829*a(n-11) -9032664305*a(n-12) -23121792223*a(n-13) +146751290622*a(n-14) +94377026525*a(n-15) -1596720389872*a(n-16) +691443932439*a(n-17) +12362508910898*a(n-18) -15307163439724*a(n-19) -68924151478202*a(n-20) +140177047071344*a(n-21) +267765440477753*a(n-22) -842866005096372*a(n-23) -622368854550337*a(n-24) +3637913057430386*a(n-25) +69865336615731*a(n-26) -11517121155166497*a(n-27) +6067810942325533*a(n-28) +26394288085250951*a(n-29) -27750839476248174*a(n-30) -41158570116749709*a(n-31) +72824350711327085*a(n-32) +34318013699344822*a(n-33) -127766794186377844*a(n-34) +13306295243552291*a(n-35) +151090691434413001*a(n-36) -83821222696805132*a(n-37) -110971481442887407*a(n-38) +122557790058758357*a(n-39) +33240066077071196*a(n-40) -98610683021290158*a(n-41) +20792254088163920*a(n-42) +44175835412907828*a(n-43) -27139950841561784*a(n-44) -7452675565609064*a(n-45) +12230309225623728*a(n-46) -2171079404601056*a(n-47) -2327543536973664*a(n-48) +1225304721202560*a(n-49) +13045439945088*a(n-50) -171078926570496*a(n-51) +45731827238400*a(n-52) +1473257078784*a(n-53) -2430025795584*a(n-54) +262400974848*a(n-55) +29501521920*a(n-56) -5255331840*a(n-57)

A205756 Number of 5X(n+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

2268, 12384, 63838, 383290, 2244622, 14131118, 88143754, 572187838, 3709029086, 24613160072, 163670433374, 1104155427184, 7473775678826, 51060113489722, 350078262846120, 2415378206667070, 16720104940755442, 116264115349570420
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Row 4 of A205753

Examples

			Some solutions for n=4
..0..0..1..0..2....0..0..1..2..0....0..0..1..0..1....0..1..0..1..0
..2..0..0..0..2....1..0..1..2..2....1..1..1..1..1....0..0..0..0..0
..2..1..2..1..2....1..2..1..0..1....1..1..1..1..1....0..0..0..0..0
..1..2..1..0..1....0..1..2..1..2....1..2..1..2..1....1..0..2..0..1
..2..2..1..1..1....2..1..0..0..2....2..1..0..1..0....2..0..1..0..2
		

A205757 Number of 6X(n+1) 0..2 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..2 introduced in row major order.

Original entry on oeis.org

12574, 82992, 507035, 3869807, 28155907, 233316016, 1885888870, 16599011784, 144835219234, 1335751969435, 12319659225966, 117640826011747, 1127388561521481, 11036054002196311, 108508423769699944
Offset: 1

Views

Author

R. H. Hardin Jan 30 2012

Keywords

Comments

Row 5 of A205753

Examples

			Some solutions for n=4
..0..1..0..2..2....0..0..0..0..0....0..1..1..0..1....0..1..0..0..1
..0..0..0..2..0....0..1..0..2..0....0..1..0..0..0....0..0..0..1..1
..1..2..1..2..1....2..2..0..1..1....0..2..2..1..2....2..1..2..2..0
..2..2..2..2..2....0..0..0..0..1....2..2..1..1..1....2..1..2..0..0
..2..2..2..2..2....1..2..1..2..2....1..0..0..2..0....2..0..2..1..2
..2..1..1..2..1....1..1..1..2..0....0..0..2..2..0....0..2..0..2..1
		
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