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A364370
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Number of chordless cycles (of length > 3) in the complement of the n-hypercube graph.
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0
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0, 0, 0, 6, 160, 1720, 13056, 82656, 470016, 2496384, 12666880, 62250496, 298868736, 1409660928, 6556483584, 30148976640, 137316794368, 620328091648, 2782435737600, 12402204475392, 54971691171840, 242433274675200
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = 2^(n - 2)*n*Sum_{j=0..n-3} Sum_{k=3..n-j} 4*((k + 2)*2^(k - 5) - 1). - Detlef Meya, Jun 23 2024
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MATHEMATICA
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a[n_] := 2^(n - 2)*n*Sum[Sum[4*((k + 2)*2^(k - 5) - 1), {k, 3, n-j}], {j, 0, n-3}]; Table[a[n], {n, 0, 21}] (* Detlef Meya, Jun 23 2024 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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