A373522 Expansion of e.g.f. exp(x * (1 + x^3)^(1/3)).
1, 1, 1, 1, 9, 41, 121, -279, -1679, 1009, 259281, 1173041, 669241, -267141159, -1295686391, 10821721, 650092657761, 3480768830561, 17723446561, -2911516748764191, -17068971040559639, 427036022281, 21673592659354854681, 137752098937383025481
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n\3, binomial(n/3-k, k)/(n-3*k)!);
Formula
a(n) = n! * Sum_{k=0..floor(n/3)} binomial(n/3-k,k)/(n-3*k)!.
a(n) == 1 mod 8.