A302401 Total domination number of the n X n king graph.

2, 2, 4, 5, 8, 9, 12, 15, 18, 21, 24, 29, 32, 38, 43, 48, 53, 60, 66, 72, 79

Offset

2,1

Links

Table of n, a(n) for n=2..22.

Eric Weisstein's World of Mathematics, King Graph

Eric Weisstein's World of Mathematics, Total Domination Number

Eric W. Weisstein, Example minimum total domination configurations for n X n king graphs

Formula

a(n) ~ n^2/7. - Andrew Howroyd, Apr 22 2018

Crossrefs

Main diagonal of A303378.

Cf. A303156.

Sequence in context: A339560 A360142 A308952 * A326443 A326522 A326626

Adjacent sequences: A302398 A302399 A302400 * A302402 A302403 A302404

Keyword

nonn,more

Author

Eric W. Weisstein, Apr 07 2018

Extensions

a(17)-a(18) from Andrew Howroyd, Apr 22 2018

a(19)-a(20) from Eric W. Weisstein, Sep 09 2021

a(21) from Eric W. Weisstein, Sep 12 2021

a(22) from Eric W. Weisstein, Sep 15 2021

Status

approved