A384809 E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^2)^2 ).

1, 1, 5, 25, 153, -799, -82787, -2990343, -98020367, -2473062911, -22379003019, 3535310560409, 426542722323721, 33942691393940577, 2320589389274335117, 131491185267395291641, 4583444982950062321377, -254657491559719266483967, -86887910247671284788294683

Offset: 0

Author

Seiichi Manyama, Jun 10 2025

Keywords

• sign

Crossrefs

Column k=1 of A384811.

Cf. A052750, A213110, A213111, A384617, A384810.

Programs

PARI

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

Formula

See A384811.