The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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