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%I #13 Jan 17 2019 07:19:52
%S 1,0,0,0,0,0,0,0,6890625,67528125000,771895089000000,
%T 10758502218240000000,193672800442598400000000,
%U 4520389860871215408000000000,136445409183108034775390625000000,5281556250358583667176941845984375000,259600586924352252185403119405592275390625
%N a(n) = Product_{k=1..n} (binomial(k-1,4) + binomial(n-k,4)).
%F a(n) ~ exp(Pi*(sqrt(2) - 1/2)*(n-4) - 4*n) * n^(4*n) / 24^n.
%t Table[Product[Binomial[k-1,4] + Binomial[n-k,4], {k, 1, n}], {n, 0, 20}]
%o (PARI) a(n) = prod(k=1, n, binomial(k-1,4) + binomial(n-k,4)); \\ _Michel Marcus_, Jan 17 2019
%Y Cf. A000332, A323425, A323496, A323533, A323534, A323535.
%K nonn
%O 0,9
%A _Vaclav Kotesovec_, Jan 16 2019
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