A292543 Number of 5-cycles in the n-Sierpinski tetrahedron graph.

0, 96, 384, 1536, 6144, 24576, 98304, 393216, 1572864, 6291456, 25165824, 100663296, 402653184, 1610612736, 6442450944, 25769803776, 103079215104, 412316860416, 1649267441664, 6597069766656, 26388279066624, 105553116266496, 422212465065984, 1688849860263936

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