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 A292022 #11 Aug 14 2025 15:15:20
%S A292022 12,48,132,288,540,912,1428,2112,2988,4080,5412,7008,8892,11088,13620,
%T A292022 16512,19788,23472,27588,32160,37212,42768,48852,55488,62700,70512,
%U A292022 78948,88032,97788,108240,119412,131328,144012,157488,171780,186912,202908,219792,237588
%N A292022 a(n) = 4*n*(n^2 + 2).
%C A292022 For n > 1, Wiener index of the 2n-crossed prism graph.
%H A292022 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CrossedPrismGraph.html">Crossed Prism Graph</a>.
%H A292022 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/WienerIndex.html">Wiener Index</a>.
%H A292022 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A292022 a(n) = 4*n*(n^2 + 2).
%F A292022 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).
%F A292022 G.f.: 12*x*(1 + x^2)/(-1 + x)^4.
%F A292022 From _Elmo R. Oliveira_, Aug 09 2025: (Start)
%F A292022 E.g.f.: 4*x*(3 + 3*x + x^2)*exp(x).
%F A292022 a(n) = 12*A006527(n) = 4*A054602(n) = 3*A217873(n). (End)
%t A292022 Table[4 n (n^2 + 2), {n, 50}]
%t A292022 LinearRecurrence[{4, -6, 4, -1}, {12, 48, 132, 288}, 20]
%t A292022 CoefficientList[Series[(12 (1 + x^2))/(-1 + x)^4, {x, 0, 20}], x]
%Y A292022 Cf. A006527, A054602, A217873.
%K A292022 nonn,easy
%O A292022 1,1
%A A292022 _Eric W. Weisstein_, Sep 07 2017