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 A291587 #15 Sep 02 2017 12:22:35
%S A291587 0,1,244,762743,12820180976,757031629267449,121921454556651769524,
%T A291587 45268703999809586294371407,34375967164840303438628549400000,
%U A291587 48808991831991566280900452880679940625,120855944455445379138034328603009420077012500
%N A291587 a(n) = ((2n-1)!!)^5 * Sum_{i=1..n} 1/(2*i-1)^5.
%H A291587 Seiichi Manyama, <a href="/A291587/b291587.txt">Table of n, a(n) for n = 0..105</a>
%F A291587 a(0) = 0, a(1) = 1, a(n+1) = ((2*n-1)^5+(2*n+1)^5)*a(n) - (2*n-1)^10*a(n-1) for n > 0.
%F A291587 a(n) ~ 31*Zeta(5) * 2^(5*n-5/2) * n^(5*n) / exp(5*n). - _Vaclav Kotesovec_, Aug 27 2017
%t A291587 Table[(2*n-1)!!^5 * Sum[1/(2*i-1)^5, {i, 1, n}], {n, 0, 12}] (* _Vaclav Kotesovec_, Aug 27 2017 *)
%Y A291587 Cf. A001147, A099827.
%Y A291587 Cf. A004041, A001824, A291585, A291586.
%K A291587 nonn
%O A291587 0,3
%A A291587 _Seiichi Manyama_, Aug 27 2017