A384749 E.g.f. A(x) satisfies A(x) = exp( x * A(x*A(x)^2)^2 ).

1, 1, 5, 73, 1881, 73281, 3919453, 271474953, 23404227185, 2440865803969, 301418221716981, 43342981732882569, 7161103011598307401, 1344575638159799606913, 284279495938201825060301, 67153086545904981925170121, 17604147845521944687437836257, 5091302668361626521610878847617

Offset: 0

Author

Seiichi Manyama, Jun 09 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384751.

Cf. A384739.

Programs

PARI

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

Formula

See A384751.