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 A368526 #14 Dec 29 2023 08:05:42 %S A368526 0,1,18,282,4740,89355,1896846,45050852,1186829064,34391135205, %T A368526 1087928669410,37322190255966,1380461544684300,54772368958008975, %U A368526 2320775754168090870,104596636848116060040,4996700995031905899536,252208510175779038669321 %N A368526 a(n) = Sum_{k=1..n} k^2 * n^k. %F A368526 a(n) = [x^n] n*x * (1+n*x)/((1-x) * (1-n*x)^3). %F A368526 a(n) = n * (n+1) * (n^n * (n^3-3*n^2+2*n+1) - 1)/(n-1)^3 for n > 1. %o A368526 (PARI) a(n) = sum(k=1, n, k^2*n^k); %Y A368526 Cf. A062806, A303991, A368527. %Y A368526 Cf. A368524. %K A368526 nonn,easy %O A368526 0,3 %A A368526 _Seiichi Manyama_, Dec 28 2023