A124354 Orders of the automorphisms groups of the n-antiprism graph.

48, 16, 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

Offset

3,1

Links

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

Eric Weisstein's World of Mathematics, Graph Automorphism

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

Formula

a(3) = 48, otherwise a(n) = 4n.

From Chai Wah Wu, Apr 14 2024: (Start)

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

G.f.: x^3*(36*x^2 - 80*x + 48)/(x - 1)^2. (End)

Mathematica

Join[{48}, 4Range[4, 60]] (* Harvey P. Dale, Aug 10 2013 *)

Crossrefs

Cf. A124352.

Sequence in context: A285660 A299585 A203250 * A033979 A033368 A128380

Adjacent sequences: A124351 A124352 A124353 * A124355 A124356 A124357

Keyword

nonn,changed

Author

Eric W. Weisstein, Oct 27 2006

Status

approved