A077265 Number of cycles in the n-th order prism graph.

14, 28, 52, 94, 170, 312, 584, 1114, 2158, 4228, 8348, 16566, 32978, 65776, 131344, 262450, 524630, 1048956, 2097572, 4194766, 8389114, 16777768, 33555032, 67109514, 134218430, 268436212, 536871724, 1073742694, 2147484578, 4294968288, 8589935648, 17179870306

Offset

3,1

Comments

Also the number of cycles in the n-th order web graph. - Eric W. Weisstein, Dec 17 2013

A subsequence of A290699.

Links

Table of n, a(n) for n=3..34.

Eric Weisstein's World of Mathematics, Graph Cycle

Eric Weisstein's World of Mathematics, Prism Graph

Eric Weisstein's World of Mathematics, Web Graph

Index entries for linear recurrences with constant coefficients, signature (5,-9,7,-2).

Formula

a(n) = 2^n+n*(n-1). - Eric W. Weisstein, Dec 16 2013

a(n) = 5*a(n-1)-9*a(n-2)+7*a(n-3)-2*a(n-4). - Colin Barker, May 06 2014

G.f.: -2*x^3*(6*x^3-19*x^2+21*x-7) / ((x-1)^3*(2*x-1)). - Colin Barker, May 06 2014

a(n) = A000079(n) + A002378(n-1). - Wesley Ivan Hurt, May 07 2014

a(n) = 2*A132109(n-1). - R. J. Mathar, May 23 2016

Maple

A077265:=n->2^n+n*(n-1); seq(A077265(n), n=3..40); # Wesley Ivan Hurt, May 07 2014

Mathematica

Table[2^n + n*(n - 1), {n, 3, 40}] (* Wesley Ivan Hurt, May 07 2014 *)
LinearRecurrence[{5, -9, 7, -2}, {14, 28, 52, 94}, 40] (* Harvey P. Dale, Mar 17 2019 *)

Crossrefs

Cf. A077263, A260699.

Sequence in context: A044839 A033011 A321371 * A033847 A067295 A212890

Adjacent sequences: A077262 A077263 A077264 * A077266 A077267 A077268

Keyword

nonn,easy

Author

Eric W. Weisstein, Nov 01 2002

Extensions

More terms from Eric W. Weisstein, Dec 16 2013

Status

approved