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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

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) = 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.)