A384740 E.g.f. A(x) satisfies A(x) = exp( x * A(x*A(x)^3) ).

1, 1, 3, 34, 665, 20556, 901417, 52455250, 3885229665, 355223077336, 39166024398641, 5113078496932374, 778733373110049601, 136679150176555902436, 27360426865918664532393, 6191378995818235673842546, 1571577905668087973855557313, 444441393534829346316950781744

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

See A384742.

Prog

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

Crossrefs

Column k=1 of A384742.

Cf. A000272, A162659, A384739.

Cf. A384720.

Sequence in context: A256512 A277391 A231850 * A109521 A274744 A222869

Adjacent sequences: A384737 A384738 A384739 * A384741 A384742 A384743

Keyword

nonn

Author

Seiichi Manyama, Jun 08 2025

Status

approved