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 11 results. Next

A302884 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 12, 37, 141, 569, 2262, 8968, 35667, 141839, 563967, 2242515, 8917145, 35457932, 140994125, 560646436, 2229344056, 8864721595, 35249512434, 140165500184, 557351464922, 2216241907025, 8812622737321, 35042347707650, 139341733946132
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 3 of A302889.

Examples

			Some solutions for n=5
..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0
..1..0..0. .1..0..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..1
..1..0..1. .0..0..0. .0..0..1. .0..0..1. .1..1..1. .1..0..0. .0..0..1
..0..0..1. .1..0..0. .0..0..0. .0..0..1. .0..1..0. .0..0..0. .1..0..0
..0..0..1. .0..0..0. .0..0..0. .1..0..0. .0..1..0. .0..0..0. .0..0..1
		

Crossrefs

Cf. A302889.

Formula

Empirical: a(n) = 4*a(n-1) -a(n-2) +5*a(n-3) -3*a(n-4) -9*a(n-5) -3*a(n-6) -8*a(n-7) +4*a(n-8) +8*a(n-9) +4*a(n-10)

A302885 Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 20, 53, 238, 1102, 5570, 28594, 149206, 788373, 4194079, 22418762, 120168046, 645271922, 3468733058, 18659308842, 100416125479, 540536282078, 2910157350115, 15669370152621, 84374942124034, 454351598306349
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 4 of A302889.

Examples

			Some solutions for n=5
..0..1..1..0. .0..0..0..0. .0..0..1..1. .0..1..1..1. .0..0..0..1
..1..1..1..1. .1..0..0..0. .0..0..1..1. .1..1..1..0. .1..0..0..0
..1..1..1..0. .1..0..0..1. .1..1..1..1. .0..0..1..1. .1..0..1..1
..0..1..1..1. .0..0..0..1. .0..1..1..0. .1..0..0..0. .0..0..1..1
..0..1..1..0. .1..0..0..1. .1..1..1..0. .1..0..0..0. .0..0..1..1
		

Crossrefs

Cf. A302889.

Formula

Empirical: a(n) = 7*a(n-1) -6*a(n-2) -5*a(n-3) -32*a(n-4) -130*a(n-5) +86*a(n-6) +185*a(n-7) +394*a(n-8) +1235*a(n-9) -26*a(n-10) -384*a(n-11) -751*a(n-12) -6365*a(n-13) -1429*a(n-14) -3066*a(n-15) -469*a(n-16) +4458*a(n-17) +2506*a(n-18) +1808*a(n-19) +2590*a(n-20) +761*a(n-21) -73*a(n-22) +453*a(n-23) -497*a(n-24) -885*a(n-25) -107*a(n-26) +36*a(n-27) -329*a(n-28) -40*a(n-29) +74*a(n-30) -28*a(n-31) -22*a(n-32) +28*a(n-33) +20*a(n-34) +4*a(n-35) for n>37

A302886 Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 72, 197, 2278, 20937, 206332, 2059835, 20622709, 206851726, 2074817480, 20813801262, 208805076675, 2094773339318, 21015309692682, 210831414476338, 2115120771478292, 21219498913842320, 212880128570856741
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 5 of A302889.

Examples

			Some solutions for n=5
..0..0..0..1..1. .0..0..0..0..1. .0..0..1..1..1. .0..0..0..1..0
..0..0..1..1..0. .1..0..0..0..0. .0..0..1..1..0. .0..0..1..1..1
..0..0..0..1..1. .1..0..0..1..0. .0..1..0..1..0. .1..1..1..0..0
..1..0..0..0..0. .1..0..0..0..0. .0..0..1..1..0. .1..1..1..0..0
..0..0..1..0..0. .0..0..1..0..1. .0..0..1..1..0. .1..1..0..0..1
		

Crossrefs

Cf. A302889.

A302887 Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 168, 818, 12782, 200186, 3452246, 60501563, 1073161270, 19073141368, 339253565677, 6036219398919, 107408100263993, 1911291205759074, 34011097898139499, 605224662587072998, 10769933859504334253
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 6 of A302889.

Examples

			Some solutions for n=5
..0..1..0..0..0..0. .0..1..1..0..0..0. .0..0..0..1..1..0. .0..0..0..1..1..1
..0..1..0..0..0..1. .0..1..1..1..0..0. .0..0..0..1..1..1. .0..0..0..1..1..1
..1..1..1..0..0..0. .1..1..1..1..0..0. .1..1..0..0..1..1. .1..1..1..1..0..0
..0..1..0..0..0..1. .1..1..1..0..0..0. .0..1..1..1..1..1. .0..1..0..0..0..1
..1..1..1..0..0..1. .0..1..1..1..0..0. .1..1..1..1..1..1. .0..1..0..0..0..0
		

Crossrefs

Cf. A302889.

A302888 Number of nX7 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 496, 2548, 98458, 2727690, 89290791, 2899297652, 94799190457, 3098646840396, 101318692410975, 3312704193964731, 108315993718233338, 3541604337522608162, 115799973010176627546, 3786315710185413419126, 123801313825059497591042
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 7 of A302889.

Examples

			Some solutions for n=5
..0..0..0..1..0..1..1. .0..0..0..1..0..0..1. .0..0..0..0..0..0..1
..0..0..1..1..1..1..1. .0..0..1..1..1..0..0. .0..0..1..1..0..0..1
..0..0..1..0..0..1..1. .0..0..1..1..0..0..0. .0..0..0..1..1..0..0
..0..0..1..1..0..0..0. .0..0..0..1..1..1..1. .0..0..0..0..1..1..1
..0..0..0..1..1..0..1. .1..0..0..1..1..1..1. .1..0..0..0..1..1..1
		

Crossrefs

Cf. A302889.

A302890 Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 2, 37, 53, 197, 818, 2548, 10926, 42671, 176119, 742413, 3138038, 13445806, 57784846, 249318271, 1078199427, 4668892009, 20238323768, 87777824464, 380862666946, 1652959447763, 7175063435815, 31148370485509, 135230298285690
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 3 of A302889.

Examples

			Some solutions for n=5
..0..1..0..0..1. .0..1..0..0..1. .0..0..0..0..0. .0..0..0..1..0
..0..1..0..0..1. .0..1..0..0..0. .0..0..1..0..0. .0..0..0..1..0
..0..1..0..0..0. .0..1..0..0..0. .1..0..0..0..0. .0..0..1..1..1
		

Crossrefs

Cf. A302889.

Formula

Empirical: a(n) = 7*a(n-1) -5*a(n-2) -39*a(n-3) +8*a(n-4) +198*a(n-5) -56*a(n-6) -411*a(n-7) +6*a(n-8) +646*a(n-9) -35*a(n-10) -602*a(n-11) +26*a(n-12) +413*a(n-13) -25*a(n-14) -114*a(n-15) -18*a(n-16) for n>17

A302891 Number of 4Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 3, 141, 238, 2278, 12782, 98458, 714934, 5542097, 43212107, 339688717, 2688321962, 21308399522, 169280033672, 1345687831167, 10704512813411, 85174284764693, 677851440008972, 5395169330701188, 42943990203275896
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 4 of A302889.

Examples

			Some solutions for n=5
..0..0..0..0..0. .0..0..0..1..1. .0..1..1..1..1. .0..0..0..0..0
..0..0..0..0..0. .1..0..1..1..1. .1..1..0..1..0. .0..0..1..0..1
..1..1..1..1..1. .0..0..1..1..1. .1..1..0..1..0. .1..0..1..0..0
..1..1..0..1..1. .1..0..0..1..1. .1..1..1..1..1. .0..0..0..0..0
		

Crossrefs

Cf. A302889.

Formula

Empirical: a(n) = 13*a(n-1) -12*a(n-2) -356*a(n-3) +616*a(n-4) +5083*a(n-5) -8496*a(n-6) -45548*a(n-7) +56196*a(n-8) +312181*a(n-9) -273657*a(n-10) -1619340*a(n-11) +1141670*a(n-12) +6721822*a(n-13) -4280936*a(n-14) -23586213*a(n-15) +14143180*a(n-16) +70972322*a(n-17) -42559939*a(n-18) -179915012*a(n-19) +118698279*a(n-20) +379886532*a(n-21) -289705583*a(n-22) -669242363*a(n-23) +574942292*a(n-24) +1024958274*a(n-25) -945572342*a(n-26) -1418419501*a(n-27) +1353749786*a(n-28) +1760748357*a(n-29) -1743439270*a(n-30) -1875647765*a(n-31) +2042011697*a(n-32) +1638648467*a(n-33) -2153570928*a(n-34) -1137848157*a(n-35) +1988432432*a(n-36) +621772336*a(n-37) -1503116866*a(n-38) -287645124*a(n-39) +872723132*a(n-40) +133853876*a(n-41) -374946624*a(n-42) -75375840*a(n-43) +109068696*a(n-44) +36225824*a(n-45) -18718304*a(n-46) -12108800*a(n-47) +83968*a(n-48) +1946624*a(n-49) +634880*a(n-50) +65536*a(n-51) for n>54

A302892 Number of 5Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 6, 569, 1102, 20937, 200186, 2727690, 37626360, 527836874, 7636723427, 110098142718, 1603085025575, 23333843977187, 340399021803521, 4967596094589523, 72528007591643618, 1059142248850801355
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 5 of A302889.

Examples

			Some solutions for n=5
..0..1..0..0..0. .0..0..1..1..1. .0..1..0..0..1. .0..0..1..1..1
..1..1..1..0..0. .0..0..0..1..1. .1..1..1..0..0. .1..0..0..1..1
..0..0..0..1..1. .1..1..1..0..0. .1..1..0..1..1. .0..0..1..0..0
..0..0..1..1..0. .1..1..0..0..0. .0..0..1..1..0. .1..1..0..0..0
..1..0..0..1..1. .1..1..1..0..1. .1..0..0..1..1. .1..1..0..0..1
		

Crossrefs

Cf. A302889.

A302893 Number of 6Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 10, 2262, 5570, 206332, 3452246, 89290791, 2247650354, 58094615177, 1540354633767, 40739033217595, 1087182534900727, 29004770266122149, 775441100324682296, 20737778147987856815, 554842761897911867720
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 6 of A302889.

Examples

			Some solutions for n=5
..0..1..0..0..1. .0..0..0..1..1. .0..0..0..0..1. .0..1..0..0..1
..1..1..1..0..0. .1..0..0..1..1. .0..0..1..0..0. .0..1..0..0..0
..0..1..1..0..1. .0..0..0..1..1. .0..0..0..0..0. .1..1..1..0..0
..0..1..1..0..0. .1..0..1..1..1. .1..1..0..1..1. .0..0..0..0..0
..1..1..1..0..0. .0..0..1..1..0. .1..1..0..1..1. .0..0..1..1..1
..0..1..1..0..0. .0..0..1..1..0. .0..1..1..1..0. .0..0..1..1..0
		

Crossrefs

Cf. A302889.

A302894 Number of 7Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 21, 8968, 28594, 2059835, 60501563, 2899297652, 133518102376, 6327934680000, 307776560940205, 14923956123066383, 730433298641263668, 35734411310196784099, 1751985608336100700720, 85921025124831969145232
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 7 of A302889.

Examples

			Some solutions for n=5
..0..0..0..0..0. .0..0..0..1..0. .0..0..0..0..0. .0..0..0..0..0
..0..0..0..0..1. .0..0..0..1..0. .0..0..0..0..0. .0..0..0..0..0
..0..1..1..0..0. .1..0..1..1..1. .0..1..1..1..1. .1..1..1..0..0
..1..0..1..1..1. .0..0..0..0..1. .0..0..1..1..1. .0..1..1..0..0
..0..1..1..1..1. .1..0..0..1..1. .1..0..1..1..0. .1..1..0..1..1
..0..0..0..0..0. .1..0..0..1..1. .1..0..0..1..1. .0..0..0..1..0
..1..0..0..0..0. .0..0..0..1..1. .1..0..0..1..1. .0..0..1..1..1
		

Crossrefs

Cf. A302889.
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