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

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

Offset

1,3

Links

Andrew Howroyd, Table of n, a(n) for n = 1..30

Eric Weisstein's World of Mathematics, Black Bishop Graph

Eric Weisstein's World of Mathematics, Total Dominating Set

Prog

(PARI) vector(10, n, A303145(n)) \\ See PARI link in A304553 for program code. - Andrew Howroyd, May 16 2025

Crossrefs

Cf. A303147 (white bishop).

Cf. A289164, A303141, A303230, A304553, A304555.

Sequence in context: A301488 A232311 A048533 * A213349 A336239 A332105

Adjacent sequences: A303142 A303143 A303144 * A303146 A303147 A303148

Keyword

nonn

Author

Eric W. Weisstein, Apr 19 2018

Extensions

a(8)-a(10) from Andrew Howroyd, Apr 20 2018

a(11) onwards from Andrew Howroyd, May 16 2025

Status

approved