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%I M4500 #15 May 22 2024 11:33:05
%S 8,27,384,12100,736128,70990416,9939419136,1896254551296,
%T 472882821120000,149328979405056000,58255835226557644800,
%U 27519543889780053196800,15483244831426302168268800,10231838708930053383168000000
%N Structure constants for certain representations of S_n.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Alain Goupil, <a href="https://doi.org/10.1016/0097-3165(94)90053-1">Decomposition of certain products of conjugacy classes of S_n</a>, J. Combin. Theory, A 66 (1994), 102-117.
%F a(n) = b(n, 2*n+2) where b(k, m) = (2 * m! / (k^2 * (m-k)^2)) * ((m / (m+1)) * (1 + (-1)^(k+1) / binomial(m, k)) + ((k+1) / binomial(m, k)) * Sum_{j=0..k-1} (j+1) / (binomial(k - 1, j) * binomial(k, j))) [from Goupil]. - _Sean A. Irvine_, Nov 23 2017
%K nonn
%O 1,1
%A _Simon Plouffe_
%E More terms from _Sean A. Irvine_, Nov 23 2017
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