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A295372 Number of total dominating sets in the n-hypercube graph. 1
1, 9, 121, 33489, 2089129849, 8522269792371679969 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..6.

Eric Weisstein's World of Mathematics, Hypercube Graph

Eric Weisstein's World of Mathematics, Total Dominating Set

FORMULA

a(n) = A284704(n-1)^2. - Andrew Howroyd, Apr 16 2018

MATHEMATICA

Table[Count[Subsets[Range[2^n]], _?(CountDistinct[Flatten[# /. Table[k -> AdjacencyList[HypercubeGraph[n], k], {k, 2^n}]]] == 2^n &)], {n, 1, 3}] (* Eric W. Weisstein, Apr 17 2018 *)

CROSSREFS

Cf. A284704, A290406.

Sequence in context: A276256 A276095 A053889 * A293284 A087584 A199139

Adjacent sequences:  A295369 A295370 A295371 * A295373 A295374 A295375

KEYWORD

nonn,more

AUTHOR

Eric W. Weisstein, Apr 16 2018

EXTENSIONS

a(5)-a(6) from Andrew Howroyd, Apr 16 2018

STATUS

approved

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Last modified July 27 12:18 EDT 2021. Contains 346306 sequences. (Running on oeis4.)