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 A375058 #9 Oct 02 2024 14:28:18 %S A375058 0,1,36,2304,235200,35283600,7326498816,2014310301696,708764628418560, %T A375058 310741583364000000,166127945369278464000,106393998792968997175296, %U A375058 80420536739705661368303616,70845563326799184430297190400,71952548266212946033508352000000 %N A375058 (1/4)*(obverse convolution (n^2 + n)**(n^2 + n)); see Comments. %C A375058 See A374848 for the definition of obverse convolution and a guide to related sequences. %C A375058 a(2k+1) is a square for k>=0; (sqrt(a(2k+1))) = (1, 48, 5940, 1419264, 557442000, 326180929536, ...). %F A375058 a(n) ~ n^(2*n+2) / (4*exp(2*n - Pi*(n+1)/2)). - _Vaclav Kotesovec_, Sep 22 2024 %t A375058 s[n_] := n^2 + n; t[n_] := n^2 + n; %t A375058 u[n_] := Product[s[k] + t[n - k], {k, 0, n}]; %t A375058 Table[u[n]/4, {n, 0, 20}] %Y A375058 Cf. A374848. %K A375058 nonn %O A375058 0,3 %A A375058 _Clark Kimberling_, Sep 22 2024