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

Author

Eric W. Weisstein, Apr 19 2018

Keywords

• nonn

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

Crossrefs

Cf. A303147 (white bishop).

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

Programs

PARI

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

Extensions

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

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