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 A291508 #21 Jul 16 2020 09:11:41
%S A291508 0,1,1025,60526249,63466432537600,619789443653380965376,
%T A291508 37476298202061058687475122176,10586126703664512292193022557971021824,
%U A291508 11366767006463449393869821987386636472445566976,39633465899293694663690352980684333029782095493517541376
%N A291508 a(n) = (n!)^10 * Sum_{i=1..n} 1/i^10.
%H A291508 Seiichi Manyama, <a href="/A291508/b291508.txt">Table of n, a(n) for n = 0..69</a>
%F A291508 a(0) = 0, a(1) = 1, a(n+1) = (n^10+(n+1)^10)*a(n) - n^20*a(n-1) for n > 0.
%F A291508 a(n) ~ 32 * Pi^15 * n^(10*n+5) / (93555 * exp(10*n)). - _Vaclav Kotesovec_, Aug 27 2017
%F A291508 Sum_{n>=0} a(n) * x^n / (n!)^10 = polylog(10,x) / (1 - x). - _Ilya Gutkovskiy_, Jul 15 2020
%t A291508 Table[(n!)^10 * Sum[1/i^10, {i, 1, n}], {n, 0, 12}] (* _Vaclav Kotesovec_, Aug 27 2017 *)
%o A291508 (PARI) a(n) = n!^10*sum(i=1, n, 1/i^10); \\ _Michel Marcus_, Aug 26 2017
%Y A291508 Cf. A000254 (k=1), A001819 (k=2), A066989 (k=3), A099827 (k=5), A291456 (k=6), A291505 (k=7), A291506 (k=8), A291507 (k=9), this sequence (k=10).
%Y A291508 Column k=10 of A291556.
%K A291508 nonn
%O A291508 0,3
%A A291508 _Seiichi Manyama_, Aug 25 2017