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A292543
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Number of 5-cycles in the n-Sierpinski tetrahedron graph.
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3
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0, 96, 384, 1536, 6144, 24576, 98304, 393216, 1572864, 6291456, 25165824, 100663296, 402653184, 1610612736, 6442450944, 25769803776, 103079215104, 412316860416, 1649267441664, 6597069766656, 26388279066624, 105553116266496, 422212465065984, 1688849860263936
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = 6*4^n = A002023(n) for n > 1.
a(n) = 4*a(n-1) for n > 2.
G.f.: 96*x^/(1 - 4*x).
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MATHEMATICA
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Table[If[n == 1, 0, 6 4^n], {n, 20}]
Join[{0}, LinearRecurrence[{4}, {96}, 20]]
CoefficientList[Series[96 x/(1 - 4 x), {x, 0, 20}], x]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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