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 A292543 Number of 5-cycles in the n-Sierpinski tetrahedron graph. 3
 0, 96, 384, 1536, 6144, 24576, 98304, 393216, 1572864, 6291456, 25165824, 100663296, 402653184, 1610612736, 6442450944, 25769803776, 103079215104, 412316860416, 1649267441664, 6597069766656, 26388279066624, 105553116266496, 422212465065984, 1688849860263936 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..24. Eric Weisstein's World of Mathematics, Graph Cycle Eric Weisstein's World of Mathematics, Sierpinski Tetrahedron Graph Index entries for linear recurrences with constant coefficients, signature (4). FORMULA 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). MATHEMATICA 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] CROSSREFS Cf. A002023 (6*4^n). Cf. A292540 (3-cycles), A292542 (4-cycles), A292545 (6-cycles). Sequence in context: A248457 A051483 A277107 * A051465 A179825 A304515 Adjacent sequences: A292540 A292541 A292542 * A292544 A292545 A292546 KEYWORD nonn,easy AUTHOR Eric W. Weisstein, Sep 18 2017 STATUS approved

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Last modified August 10 14:52 EDT 2024. Contains 375056 sequences. (Running on oeis4.)