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%I #16 Nov 18 2017 04:43:48
%S 0,1,28,3527,1213136,885533769,1179489355164,2592461355675183,
%T 8752024838912328000,43007026735417743104625,
%U 295026115290377469777013500,2732517516522603185416699320375,33249139841891876848539850177362000,519549434719363290227226596791835765625
%N a(n) = ((2n-1)!!)^3 * Sum_{i=1..n} 1/(2*i-1)^3.
%H Seiichi Manyama, <a href="/A291585/b291585.txt">Table of n, a(n) for n = 0..160</a>
%F a(0) = 0, a(1) = 1, a(n+1) = ((2*n-1)^3+(2*n+1)^3)*a(n) - (2*n-1)^6*a(n-1) for n > 0.
%F a(n) ~ 7*Zeta(3) * 2^(3*n-3/2) * n^(3*n) / exp(3*n). - _Vaclav Kotesovec_, Aug 27 2017
%F a(1) = 1, a(n) = a(n-1)*(2n-1)^3 + ((2n-1)!!)^3/(2n-1)^3, for n > 1. - _Daniel Suteu_, Nov 01 2017
%t Table[(2*n-1)!!^3 * Sum[1/(2*i-1)^3, {i, 1, n}], {n, 0, 15}] (* _Vaclav Kotesovec_, Aug 27 2017 *)
%Y Cf. A001147, A066989.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Aug 27 2017
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