A384787 E.g.f. A(x) satisfies A(x) = exp( x*A(x) * A(2*x*A(x)) ).

1, 1, 7, 148, 7381, 801536, 186678019, 93865986880, 102755888482153, 245872091164966912, 1285664593514044479391, 14650473009515606022910976, 362327823926201727094352145661, 19359048028300511200690402408529920, 2224311455921555052696103713299884826395

Offset: 0

Author

Seiichi Manyama, Jun 10 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384788.

Cf. A140049.

Programs

PARI

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

Formula

See A384788.