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 A077265 Number of cycles in the n-th order prism graph. 4
 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 (list; graph; refs; listen; history; text; internal format)
 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 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

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Last modified August 5 18:22 EDT 2021. Contains 346488 sequences. (Running on oeis4.)