A373540 Expansion of e.g.f. exp(x/(1 + x^4)^(1/4)).
1, 1, 1, 1, 1, -29, -179, -629, -1679, 52921, 672841, 4352041, 19934641, -656794709, -13394641259, -130483743389, -870226287839, 29354743432561, 855880592510161, 11361346027482961, 101129588155349281, -3446498927212733069, -134465010284782027619
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n\4, (-1)^k*binomial(n/4-1, k)/(n-4*k)!);
Formula
a(n) = n! * Sum_{k=0..floor(n/4)} (-1)^k * binomial(n/4-1,k)/(n-4*k)!.
a(n) == 1 mod 30.