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 A355495 #14 Feb 24 2023 19:04:21 %S A355495 1,1,17,762,67772,10032208,2226273192,691431572992,286268594755712, %T A355495 152365547943819264,101361042063083269520,82409537565402784477984, %U A355495 80397802305461995791664944,92692687015689239272783171264 %N A355495 Expansion of Sum_{k>=0} (k^2 * x/(1 - x))^k. %H A355495 Winston de Greef, <a href="/A355495/b355495.txt">Table of n, a(n) for n = 0..213</a> %F A355495 a(n) = Sum_{k=1..n} k^(2*k) * binomial(n-1,k-1) for n > 0. %o A355495 (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, (k^2*x/(1-x))^k)) %o A355495 (PARI) a(n) = if(n==0, 1, sum(k=1, n, k^(2*k)*binomial(n-1, k-1))); %Y A355495 Cf. A355494, A355496. %Y A355495 Cf. A323280. %K A355495 nonn %O A355495 0,3 %A A355495 _Seiichi Manyama_, Jul 04 2022