A379701 Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(x) / (1 + x*exp(2*x)) ).
1, 0, 3, 2, 113, 304, 13747, 83600, 3590337, 38193920, 1650383171, 26535997696, 1186785903217, 26244849422336, 1234578346302771, 35176362803984384, 1757110507998276353, 61533880908307038208, 3281634015502670522371, 136392534106346468999168
Offset: 0
Keywords
Programs
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PARI
a(n) = n!*sum(k=0, n, (n-2*k-1)^k*binomial(n+1, n-k)/k!)/(n+1);
Formula
a(n) = (n!/(n+1)) * Sum_{k=0..n} (n-2*k-1)^k * binomial(n+1,n-k)/k!.