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A292537 Number of cliques in the n-Sierpinski tetrahedron graph. 0
16, 59, 227, 899, 3587, 14339, 57347, 229379, 917507, 3670019, 14680067, 58720259, 234881027, 939524099, 3758096387, 15032385539, 60129542147, 240518168579, 962072674307, 3848290697219, 15393162788867, 61572651155459, 246290604621827, 985162418487299 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..24.

Eric Weisstein's World of Mathematics, Clique

Eric Weisstein's World of Mathematics, Sierpinski Tetrahedron Graph

Index entries for linear recurrences with constant coefficients, signature (5, -4).

FORMULA

a(n) = 7*4^n/2 + 3 for n > 1.

a(n) = 5*a(n-1) - 4*a(n-2) for n > 1.

G.f.: x*(16 - 21*x - 4*x^2)/(1 - 5*x + 4*x^2).

MATHEMATICA

Table[Piecewise[{{16, n == 1}}, 7 4^n/2 + 3], {n, 20}]

Join[{16}, LinearRecurrence[{5, -4}, {59, 227}, 20]]

CoefficientList[Series[(16 - 21 x - 4 x^2)/(1 - 5 x + 4 x^2), {x, 0, 20}], x]

CROSSREFS

Sequence in context: A220974 A063521 A027117 * A258730 A187173 A296958

Adjacent sequences:  A292534 A292535 A292536 * A292538 A292539 A292540

KEYWORD

nonn,easy

AUTHOR

Eric W. Weisstein, Sep 18 2017

STATUS

approved

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Last modified December 9 08:41 EST 2021. Contains 349627 sequences. (Running on oeis4.)