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 A203229 #13 Jul 14 2020 21:40:22 %S A203229 1,17,1393,357904,224021776,290539581696,697854274212096, %T A203229 2859056348455305216,18760911610508623282176, %U A203229 187626456226399005573120000,2747212346823835568109649920000,56968733990900457398848318341120000 %N A203229 (n-1)-st elementary symmetric function of (1,16,...,n^4). %F A203229 a(n) ~ 2 * Pi^6 * n^(4*n+2) / (45*exp(4*n)). - _Vaclav Kotesovec_, Aug 27 2017 %F A203229 Sum_{n>=1} a(n) * x^n / (n!)^4 = polylog(4,x) / (1 - x). - _Ilya Gutkovskiy_, Jul 14 2020 %t A203229 f[k_] := k^4; t[n_] := Table[f[k], {k, 1, n}] %t A203229 a[n_] := SymmetricPolynomial[n - 1, t[n]] %t A203229 Table[a[n], {n, 1, 14}] (* A203229 *) %t A203229 Table[(n!)^4 * Sum[1/i^4, {i, 1, n}], {n, 1, 20}] (* _Vaclav Kotesovec_, Aug 27 2017 *) %Y A203229 Cf. A000583, A203148. %Y A203229 Column k=4 of A291556. %K A203229 nonn %O A203229 1,2 %A A203229 _Clark Kimberling_, Dec 30 2011