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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
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
Sequence in context: A276256 A276095 A053889 * A293284 A087584 A199139
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 February 24 15:35 EST 2024. Contains 370306 sequences. (Running on oeis4.)