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A124351 Order of the automorphism group of the n-prism graph. 0
12, 48, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

LINKS

Table of n, a(n) for n=3..59.

Eric Weisstein's World of Mathematics, Graph Automorphism

Eric Weisstein's World of Mathematics, Prism Graph

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

a(4) = 48, otherwise a(n) = 4n.

G.f.: 12*x^3 + 48*x^4 -4*x^5*(-5+4*x)/(x-1)^2 . - R. J. Mathar, Jan 25 2016

MATHEMATICA

Join[{12, 48}, LinearRecurrence[{2, -1}, {20, 24}, 60]] (* Vincenzo Librandi, Jan 26 2016

PROG

(PARI) Vec(12*x^3+48*x^4-4*x^5*(-5+4*x)/(x-1)^2 + O(x^100)) \\ Altug Alkan, Jan 25 2016

(MAGMA) I:=[12, 48, 20, 24]; [n le 4 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..80]]; // Vincenzo Librandi, Jan 26 2016

CROSSREFS

Sequence in context: A030623 A030624 A002612 * A230919 A181925 A118903

Adjacent sequences:  A124348 A124349 A124350 * A124352 A124353 A124354

KEYWORD

nonn,easy

AUTHOR

Eric W. Weisstein, Oct 26 2006

STATUS

approved

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Last modified March 24 06:56 EDT 2019. Contains 321444 sequences. (Running on oeis4.)