A372712 Numbers of minimal total dominating sets in the n-trapezohedral graph.

36, 36, 100, 121, 196, 324, 441, 729, 1089, 1681, 2704, 4225, 6889, 11236, 18496, 30976, 51984, 88209, 150544, 258064, 444889, 769129, 1334025, 2319529, 4040100, 7049025, 12313081, 21529600, 37675044, 65966884, 115562500, 202521361, 355020964, 622502500

Offset

3,1

Links

Christian Sievers, Table of n, a(n) for n = 3..1000

Eric Weisstein's World of Mathematics, Minimal Total Dominating Set.

Eric Weisstein's World of Mathematics, Trapezohedral Graph.

Formula

a(n) = (A001608(n) + n)^2. - Christian Sievers, Jun 14 2024

Prog

(PARI) a(n)=(polsym(x^3-x-1, n)[n+1]+n)^2 \\ Christian Sievers, Jun 14 2024

Crossrefs

Cf. A001608.

Sequence in context: A217613 A247898 A124511 * A081445 A081449 A284568

Adjacent sequences: A372709 A372710 A372711 * A372713 A372714 A372715

Keyword

nonn

Author

Eric W. Weisstein, May 11 2024

Extensions

a(13) and beyond from Christian Sievers, Jun 14 2024

Status

approved