A379702 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(x) / (1 + x*exp(3*x)) ).
1, 0, 5, 11, 333, 2829, 78553, 1360197, 42149817, 1123709129, 40775629581, 1453036152897, 62005204699045, 2736440768515869, 135913168259011809, 7106229274104610829, 405068417020871464689, 24398077807975709138193, 1574189366334360310720405
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n, (2*n-3*k-1)^k*binomial(n+1, n-k)/k!)/(n+1);
Formula
a(n) = (n!/(n+1)) * Sum_{k=0..n} (2*n-3*k-1)^k * binomial(n+1,n-k)/k!.