A370846 - OEIS

A370846

a(n) = 5 + 4^n + 3*((-i*sqrt(7) - 3)^n + (i*sqrt(7) - 3)^n)/2^n.

0, 24, 96, 168, 1200, 3960, 16128, 66888, 259152, 1052184, 4195488, 16759272, 67158000, 268359864, 1073772096, 4295178888, 17179113360, 68720897880, 274876666848, 1099509663528, 4398057364272, 17592161341944, 70368774872448, 281474983436232, 1125899763886800

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

For n > 2 and n != 0 (mod 3), also the number of minimum vertex colorings in the n-antiprism graph.

LINKS

Table of n, a(n) for n=1..25.

Eric Weisstein's World of Mathematics, Antiprism Graph.

Eric Weisstein's World of Mathematics, Minimum Vertex Coloring.

Index entries for linear recurrences with constant coefficients, signature (2,7,8,-16).

FORMULA

a(n) = 5 + A000302(n) + 3*A128415(n).