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 A292545 Number of 6-cycles in the n-Sierpinski tetrahedron graph. 3
 0, 218, 876, 3504, 14016, 56064, 224256, 897024, 3588096, 14352384, 57409536, 229638144, 918552576, 3674210304, 14696841216, 58787364864, 235149459456, 940597837824, 3762391351296, 15049565405184, 60198261620736, 240793046482944, 963172185931776, 3852688743727104 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS 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) = 219*4^(n - 2) for n > 2. a(n) = 4*a(n-1) for n > 2. G.f.: -2*x^2*(109 + 2*x)/(-1 + 4*x). MATHEMATICA Table[Piecewise[{{0, n == 1}, {218, n == 2}}, 219 4^(n - 2)], {n, 20}] Join[{0, 218}, LinearRecurrence[{4}, {876}, 20]] CoefficientList[Series[-2 x (109 + 2 x)/(-1 + 4 x), {x, 0, 20}], x] PROG (PARI) concat(0, Vec(-2*x^2*(109 + 2*x)/(-1 + 4*x) + O(x^50))) \\ Michel Marcus, Sep 19 2017 CROSSREFS Cf. A292540 (3-cycles), A292542 (4-cycles), A292543 (5-cycles). Sequence in context: A253740 A253733 A241102 * A321115 A253732 A232513 Adjacent sequences:  A292542 A292543 A292544 * A292546 A292547 A292548 KEYWORD nonn,easy AUTHOR Eric W. Weisstein, Sep 18 2017 STATUS approved

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Last modified May 23 12:38 EDT 2019. Contains 323514 sequences. (Running on oeis4.)