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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 July 17 22:17 EDT 2024. Contains 374377 sequences. (Running on oeis4.)