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 1-6 of 6 results.

A266357 Number of n X 3 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.

Original entry on oeis.org

4, 13, 35, 82, 173, 337, 614, 1060, 1749, 2777, 4266, 6369, 9273, 13206, 18441, 25302, 34170, 45490, 59776, 77620, 99698, 126778, 159728, 199525, 247262, 304159, 371571, 450998, 544095, 652683, 778758, 924504, 1092303, 1284747, 1504650, 1755061
Offset: 1

Views

Author

R. H. Hardin, Dec 28 2015

Keywords

Examples

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

Links

Crossrefs

Column 3 of A266362.

Formula

Empirical: a(n) = 5*a(n-1) -9*a(n-2) +6*a(n-3) -6*a(n-7) +9*a(n-8) -5*a(n-9) +a(n-10).
Empirical g.f.: x*(4 - 7*x + 6*x^2 - 6*x^6 + 9*x^7 - 5*x^8 + x^9) / ((1 - x)^7*(1 + x)*(1 + x + x^2)). - Colin Barker, Jan 09 2019

A266358 Number of nX4 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.

Original entry on oeis.org

5, 22, 82, 276, 830, 2278, 5752, 13525, 29864, 62455, 124501, 237951, 438085, 780124, 1348276, 2268306, 3724141, 5980163, 9410094, 14534556, 22068734, 32983206, 48579531, 70584895, 101268301, 143583339, 201341148, 279420500, 384018844
Offset: 1

Views

Author

R. H. Hardin, Dec 28 2015

Keywords

Comments

Column 4 of A266362.

Examples

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

Links

Crossrefs

Cf. A266362.

A266359 Number of nX5 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.

Original entry on oeis.org

6, 34, 173, 830, 3669, 14921, 55734, 191916, 612871, 1827072, 5118950, 13561326, 34161206, 82219937, 189887848, 422385924, 907900116, 1891159167, 3827190045, 7541618443, 14499264935, 27245395504, 50118187760, 90379795961, 159985071253
Offset: 1

Views

Author

R. H. Hardin, Dec 28 2015

Keywords

Comments

Column 5 of A266362.

Examples

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

Links

Crossrefs

Cf. A266362.

A266356 Number of n X n binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.

Original entry on oeis.org

2, 7, 35, 276, 3669, 93085, 5061414, 654427939
Offset: 1

Views

Author

R. H. Hardin, Dec 28 2015

Keywords

Comments

Diagonal of A266362.

Examples

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

Crossrefs

Cf. A266362.

A266360 Number of nX6 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.

Original entry on oeis.org

7, 50, 337, 2278, 14921, 93085, 541207, 2909244, 14424728, 66153106, 281891001, 1122295653, 4197508078, 14825103751, 49679349839, 158631629088, 484502593301, 1420310391763
Offset: 1

Views

Author

R. H. Hardin, Dec 28 2015

Keywords

Comments

Column 6 of A266362.

Examples

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

Crossrefs

Cf. A266362.

A266361 Number of nX7 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.

Original entry on oeis.org

8, 70, 614, 5752, 55734, 541207, 5061414, 44435916, 361401441, 2711340372, 18782567690, 120573237565, 720624005211
Offset: 1

Views

Author

R. H. Hardin, Dec 28 2015

Keywords

Comments

Column 7 of A266362.

Examples

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

Crossrefs

Cf. A266362.
Showing 1-6 of 6 results.

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