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

A302948 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 15, 86, 587, 3815, 25131, 164916, 1083375, 7114906, 46729709, 306907879, 2015697730, 13238601897, 86947883732, 571052268590, 3750530654213, 24632561409541, 161780595565168, 1062535099406293, 6978468794154813
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Column 3 of A302953.

Examples

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

Crossrefs

Cf. A302953.

Formula

Empirical: a(n) = 4*a(n-1) +15*a(n-2) +13*a(n-3) -2*a(n-4) -19*a(n-5) -3*a(n-6) +4*a(n-8)

A302949 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

2, 46, 519, 6531, 80589, 998670, 12365841, 153141597, 1896492042, 23486107930, 290851104799, 3601890066510, 44605681284501, 552395208564836, 6840843079654058, 84716763151740480, 1049129453065059314
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Column 4 of A302953.

Examples

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

Crossrefs

Cf. A302953.

Formula

Empirical: a(n) = 9*a(n-1) +41*a(n-2) +29*a(n-3) -181*a(n-4) -466*a(n-5) -225*a(n-6) +66*a(n-7) +298*a(n-8) -52*a(n-9) +57*a(n-10) -10*a(n-11) -25*a(n-12) +4*a(n-13)

A302950 Number of n X 5 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 161, 3626, 87901, 2104533, 50519822, 1212025201, 29081585941, 697771332458, 16742115379799, 401704920782027, 9638379919762234, 231260211351014481, 5548783725157622511, 133135746167019232072, 3194416612541988731537
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Column 5 of A302953.

Examples

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

Crossrefs

Cf. A302953.

Formula

Empirical: a(n) = 16*a(n-1) +185*a(n-2) +338*a(n-3) -3457*a(n-4) -18198*a(n-5) +1573*a(n-6) +207051*a(n-7) +485032*a(n-8) -709863*a(n-9) -4112844*a(n-10) -4497315*a(n-11) +14072015*a(n-12) +23623154*a(n-13) +30626063*a(n-14) -99626043*a(n-15) -57510625*a(n-16) -112880545*a(n-17) +295426821*a(n-18) +18085571*a(n-19) +288500472*a(n-20) -331079802*a(n-21) +37925765*a(n-22) -255867381*a(n-23) +137228007*a(n-24) -32983680*a(n-25) +75880272*a(n-26) -26987488*a(n-27) +29332045*a(n-28) +6688725*a(n-29) +16606514*a(n-30) -8626853*a(n-31) -10896776*a(n-32) -9706702*a(n-33) -656672*a(n-34) +2337262*a(n-35) +2061980*a(n-36) +417365*a(n-37) -47256*a(n-38) -82696*a(n-39) -14668*a(n-40) -284*a(n-41) +1067*a(n-42) +120*a(n-43) for n>44.

A302951 Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 601, 26167, 1248691, 58679318, 2766909379, 130376252119, 6144174797769, 289545909430332, 13644990905908379, 643026310546264490, 30302906917975958719, 1428038216826276687258, 67296948235600838750918
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Column 6 of A302953.

Examples

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

Crossrefs

Cf. A302953.

A302952 Number of nX7 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 2208, 185810, 17374552, 1596912288, 147310312318, 13578993819785, 1251888966185979, 115412264434282781, 10639969409929461395, 980908241510917291141, 90430818798138269376877, 8336898786544158131204437
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Column 7 of A302953.

Examples

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

Crossrefs

Cf. A302953.

A302954 Number of 3Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 11, 86, 519, 3626, 26167, 185810, 1317541, 9353154, 66404553, 471405566, 3346494089, 23756835310, 168650322345, 1197251824916, 8499313431065, 60336790015098, 428332035511083, 3040737367321452, 21586253123647687
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Row 3 of A302953.

Examples

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

Crossrefs

Cf. A302953.

Formula

Empirical: a(n) = 4*a(n-1) +15*a(n-2) +37*a(n-3) +80*a(n-4) +68*a(n-5) +26*a(n-6) +5*a(n-7) for n>9

A302955 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 34, 587, 6531, 87901, 1248691, 17374552, 240722070, 3341034465, 46388257442, 643972648584, 8939498283852, 124098004402538, 1722731575686989, 23914973741837431, 331987784574422416, 4608656564514739063
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Row 4 of A302953.

Examples

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

Crossrefs

Cf. A302953.

Formula

Empirical: a(n) = 7*a(n-1) +64*a(n-2) +323*a(n-3) +1423*a(n-4) +2602*a(n-5) -1745*a(n-6) -17308*a(n-7) -49332*a(n-8) -76942*a(n-9) -37653*a(n-10) +24133*a(n-11) +51188*a(n-12) +90867*a(n-13) +48713*a(n-14) -32390*a(n-15) -35672*a(n-16) -23781*a(n-17) +15831*a(n-18) +22745*a(n-19) -4476*a(n-20) -2492*a(n-21) -8*a(n-22) -1296*a(n-23) +576*a(n-24) for n>25

A302956 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 111, 3815, 80589, 2104533, 58679318, 1596912288, 43234526916, 1172920595173, 31835504010739, 863919963653140, 23443241891419774, 636163926665744028, 17263226518198169813, 468461872965045734740, 12712366216384150285383
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Row 5 of A302953.

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..0..0..1..0. .0..0..0..1..0. .0..1..0..1..0. .0..0..0..1..1
..0..1..1..1..1. .1..0..1..1..1. .1..0..1..0..1. .0..0..1..1..1
..0..0..0..0..1. .1..1..0..0..0. .0..1..1..0..0. .0..1..1..0..1
..0..1..1..1..1. .1..1..1..1..0. .1..1..1..0..0. .0..0..0..0..0
		

Crossrefs

Cf. A302953.

Formula

Empirical recurrence of order 73 (see link above)

A302957 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 361, 25131, 998670, 50519822, 2766909379, 147310312318, 7792601909575, 413221140108695, 21925142145040301, 1163067389442877369, 61694202460260635301, 3272597655031259362393, 173597299390133576071391
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Row 6 of A302953.

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..0..0..0..0. .0..0..0..0..0. .0..0..0..1..0. .0..0..0..1..0
..0..1..1..0..1. .0..1..1..1..0. .0..0..1..0..0. .0..1..1..0..0
..0..0..0..1..1. .0..1..1..0..1. .1..1..0..1..1. .1..1..0..1..0
..1..0..0..0..1. .1..0..1..0..1. .1..1..1..0..0. .1..1..0..0..0
..0..1..1..0..0. .0..0..1..1..0. .1..1..0..1..0. .1..0..1..1..0
		

Crossrefs

Cf. A302953.

A302958 Number of 7Xn 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 1172, 164916, 12365841, 1212025201, 130376252119, 13578993819785, 1403559107071889, 145479455454006812, 15089882967228651401, 1564791955810116030473, 162255388684026120105462
Offset: 1

Views

Author

R. H. Hardin, Apr 16 2018

Keywords

Comments

Row 7 of A302953.

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..0..0..0..0. .0..0..0..1..0. .0..0..0..1..0. .0..0..0..1..0
..0..0..1..1..0. .0..0..1..0..0. .0..0..1..1..0. .0..0..1..1..0
..0..0..0..0..0. .0..0..1..0..0. .0..0..0..0..0. .0..0..0..0..1
..0..1..0..0..0. .1..1..1..1..1. .0..1..1..0..0. .0..1..0..0..0
..0..0..1..1..0. .0..1..1..0..1. .1..0..1..0..1. .1..1..1..0..0
..1..1..1..0..0. .1..0..1..0..0. .1..1..1..1..1. .1..1..0..1..1
		

Crossrefs

Cf. A302953.
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