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 1-4 of 4 results.

A298914 Number of n X 5 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 3, 3, 4, 7, 9, 15, 26, 46, 84, 151, 276, 506, 929, 1708, 3138, 5770, 10611, 19515, 35893, 66014, 121417, 223319, 410746, 755479, 1389539, 2555759, 4700772, 8646066, 15902594, 29249427, 53798082, 98950098, 181997603, 334745780, 615693476
Offset: 1

Views

Author

R. H. Hardin, Jan 29 2018

Keywords

Comments

Column 5 of A298917.

Examples

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

Links

Crossrefs

Cf. A298917.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-5) -a(n-6) -a(n-7) -a(n-8) for n>9.

A298915 Number of nX6 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 5, 5, 6, 9, 14, 24, 44, 81, 156, 306, 602, 1192, 2370, 4720, 9415, 18797, 37547, 75032, 149981, 299846, 599534, 1198852, 2397405, 4794400, 9588236, 19175692, 38350310, 76699140, 153396236, 306789653, 613575417, 1227145465, 2454283522, 4908556821
Offset: 1

Views

Author

R. H. Hardin, Jan 29 2018

Keywords

Comments

Column 6 of A298917.

Examples

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

Links

Crossrefs

Cf. A298917.

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +a(n-3) -2*a(n-4) -a(n-7) +2*a(n-8) for n>9

A298916 Number of nX7 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 8, 8, 9, 15, 24, 40, 76, 141, 277, 570, 1171, 2441, 5157, 10913, 23193, 49468, 105598, 225691, 482849, 1033370, 2212340, 4737746, 10147163, 21735151, 46560372, 99744293, 213684681, 457793103, 980778481, 2101245689, 4501796828, 9644879742
Offset: 1

Views

Author

R. H. Hardin, Jan 29 2018

Keywords

Comments

Column 7 of A298917.

Examples

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

Links

Crossrefs

Cf. A298917.

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +5*a(n-3) -9*a(n-4) +7*a(n-5) -2*a(n-6) -a(n-7) +7*a(n-8) -5*a(n-9) +3*a(n-10) -2*a(n-11) -a(n-12) +a(n-13) -a(n-14) for n>15

A298913 Number of n X n 0..1 arrays with every element equal to 0, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 1, 1, 3, 7, 14, 40, 168, 873, 5632, 63538, 1026354, 20200595, 622554839, 29122695476, 1747360635695, 149225079090933
Offset: 1

Views

Author

R. H. Hardin, Jan 29 2018

Keywords

Comments

Diagonal of A298917.

Examples

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

Crossrefs

Cf. A298917.
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.