A384983 E.g.f. A(x) satisfies A(x) = exp(x*A(x)/A(-x*A(x)^4)^2).

1, 1, 7, 76, 1333, 26816, 596899, 9687616, -295060055, -58508094464, -6236843712929, -591511769242624, -54886056134084963, -5038712914671656960, -452211859222540203653, -37655001036842279665664, -2423249878967831840406191, 15689693768161840558505984, 52587298505917986133331289655

Offset: 0

Author

Seiichi Manyama, Jun 14 2025

Keywords

• sign

Crossrefs

Column k=1 of A384986.

Programs

PARI

a(n, k=-1) = if(n*k==0, 0^n, (-1)^n*k*sum(j=1, n, (-4*n+3*j+k)^(j-1)*binomial(n, j)*a(n-j, 2*j)));

Formula

See A384986.