A380019 Expansion of e.g.f. 1/(1 - 4*x*exp(x))^(1/4).
1, 1, 7, 78, 1249, 26100, 673101, 20655082, 735030913, 29759100264, 1350726180085, 67929497104326, 3749296817347137, 225321905599163308, 14646040616615433949, 1023818460912628352490, 76589660469522857865601, 6105092923000191785913552, 516586509938516858800548453
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n, (-4)^k*k^(n-k)*binomial(-1/4, k)/(n-k)!);
Formula
a(n) = n! * Sum_{k=0..n} (-4)^k * k^(n-k) * binomial(-1/4,k)/(n-k)!.