A384719 E.g.f. A(x) satisfies A(x) = exp( x * A(x*A(x))^2 ).

1, 1, 5, 61, 1281, 39641, 1655713, 88312869, 5792082817, 454510418545, 41802078248001, 4434246169988669, 535583662477158529, 72887981688629021097, 11079094119653898282337, 1867050981690536859738901, 346619463962928284995333377, 70501622878003227432547203809

Offset: 0

Author

Seiichi Manyama, Jun 08 2025

Keywords

• nonn

Crossrefs

Column k=1 of A384721.

Cf. A162659, A384720.

Cf. A384691.

Programs

PARI

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

Formula

See A384721.