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.

A303141 Number of minimum total dominating sets in the n X n black bishop graph.

Original entry on oeis.org

0, 1, 4, 1, 2, 61, 9, 104, 2586, 270, 5460, 184710, 12600, 458640, 20113380, 982800, 53373600, 3042295200, 109544400, 8497742400, 611967862800, 16922228400, 1762112167200, 157184659447200, 3432645216000, 463679536320000, 50284574580240000, 888196949640000, 150857156385936000, 19562163412303512000
Offset: 1

Views

Author

Eric W. Weisstein, Apr 19 2018

Keywords

Comments

For n >= 3, the total domination number is given by floor(2*n/3) = A004523(n). - Andrew Howroyd, May 17 2025

Crossrefs

Cf. A303144 (white bishop).

Programs

Extensions

a(8)-a(10) from Andrew Howroyd, Apr 20 2018
a(11) from Eric W. Weisstein, Apr 02 2025
a(12) onwards from Andrew Howroyd, May 16 2025

A303145 Number of total dominating sets in the n X n black bishop graph.

Original entry on oeis.org

0, 1, 16, 143, 5468, 199095, 28216660, 3855890801, 2063573357664, 1084629728348393, 2257651988909632680, 4666227312488067563575, 38431519470524295069404276, 315759892137678954308707379391, 10364113216536074591340863505339180, 339917045534987610111076281503519527705
Offset: 1

Views

Author

Eric W. Weisstein, Apr 19 2018

Keywords

Crossrefs

Cf. A303147 (white bishop).

Programs

Extensions

a(8)-a(10) from Andrew Howroyd, Apr 20 2018
a(11) onwards from Andrew Howroyd, May 16 2025

A303229 Number of minimal total dominating sets in the n X n white bishop graph.

Original entry on oeis.org

1, 4, 15, 72, 695, 5424, 66861, 721752
Offset: 2

Views

Author

Eric W. Weisstein, Apr 20 2018

Keywords

Crossrefs

Cf. A303230 (black bishop), A321674.

Extensions

a(7)-a(9) from Andrew Howroyd, Apr 20 2018

A321674 Number of minimal total dominating sets in the n X n bishop graph.

Original entry on oeis.org

0, 1, 20, 225, 8136, 483025, 37290000, 4470393321, 673416268560
Offset: 1

Views

Author

Eric W. Weisstein, Nov 16 2018

Keywords

Crossrefs

Cf. A303230 (black bishop graph).
Cf. A303229 (white bishop graph).

Formula

a(n) = A303229(n) * A303230(n). - Andrew Howroyd, Nov 16 2018

Extensions

a(7)-a(9) from Andrew Howroyd, Nov 16 2018
Showing 1-4 of 4 results.