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

Author

Eric W. Weisstein, Oct 27 2006

Keywords

• nonn

Links

• Eric Weisstein's World of Mathematics, Graph Automorphism
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A124352.

Programs

Mathematica

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

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)