This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A077265 #36 Oct 30 2024 10:28:25
%S A077265 14,28,52,94,170,312,584,1114,2158,4228,8348,16566,32978,65776,131344,
%T A077265 262450,524630,1048956,2097572,4194766,8389114,16777768,33555032,
%U A077265 67109514,134218430,268436212,536871724,1073742694,2147484578,4294968288,8589935648,17179870306
%N A077265 Number of cycles in the n-th order prism graph.
%C A077265 Also the number of cycles in the n-th order web graph. - _Eric W. Weisstein_, Dec 17 2013
%C A077265 Also the number of minimal edge cuts in the n-dipyramidal graph. - _Eric W. Weisstein_, Oct 30 2024
%C A077265 A subsequence of A290699.
%H A077265 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GraphCycle.html">Graph Cycle</a>.
%H A077265 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DipyramidalGraph.html">Dipyramidal Graph</a>.
%H A077265 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrismGraph.html">Prism Graph</a>.
%H A077265 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/WebGraph.html">Web Graph</a>.
%H A077265 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (5,-9,7,-2).
%F A077265 a(n) = 2^n+n*(n-1). - _Eric W. Weisstein_, Dec 16 2013
%F A077265 a(n) = 5*a(n-1)-9*a(n-2)+7*a(n-3)-2*a(n-4). - _Colin Barker_, May 06 2014
%F A077265 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
%F A077265 a(n) = A000079(n) + A002378(n-1). - _Wesley Ivan Hurt_, May 07 2014
%F A077265 a(n) = 2*A132109(n-1). - _R. J. Mathar_, May 23 2016
%p A077265 A077265:=n->2^n+n*(n-1); seq(A077265(n), n=3..40); # _Wesley Ivan Hurt_, May 07 2014
%t A077265 Table[2^n + n*(n - 1), {n, 3, 40}] (* _Wesley Ivan Hurt_, May 07 2014 *)
%t A077265 LinearRecurrence[{5,-9,7,-2},{14,28,52,94},40] (* _Harvey P. Dale_, Mar 17 2019 *)
%Y A077265 Cf. A077263, A260699.
%Y A077265 Cf. A000079, A002378, A132109.
%K A077265 nonn,easy
%O A077265 3,1
%A A077265 _Eric W. Weisstein_, Nov 01 2002
%E A077265 More terms from _Eric W. Weisstein_, Dec 16 2013