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 A375059 #7 Sep 22 2024 18:01:56 %S A375059 2,16,384,19600,1734656,235929600,45619718144,11882195067136, %T A375059 4007380608000000,1698030663170523136,882712840220180480000, %U A375059 552231274155798665465856,409206182467603556470882304,354386995669969036902400000000,354633184176852764825029617647616 %N A375059 Obverse convolution (n^2 + n + 1)**(n^2 + n + 1); see Comments. %C A375059 See A374848 for the definition of obverse convolution and a guide to related sequences. %C A375059 a(2k+1) is a square for k>=0; (sqrt(a(2k+1))) = (1, 35, 3840, 861764, 325771264, 185780662704...). %F A375059 a(n) ~ n^(2*n+2) / exp(2*n - Pi*(n+1)/2). - _Vaclav Kotesovec_, Sep 22 2024 %t A375059 s[n_] := n^2 + n + 1; t[n_] := n^2 + n + 1; %t A375059 u[n_] := Product[s[k] + t[n - k], {k, 0, n}]; %t A375059 Table[u[n], {n, 0, 20}] %Y A375059 Cf. A374848, A375058. %K A375059 nonn %O A375059 0,1 %A A375059 _Clark Kimberling_, Sep 22 2024