A364942 E.g.f. satisfies A(x) = exp( x*A(x)^2 / (1 - x*A(x))^3 ).

1, 1, 11, 193, 5037, 176221, 7755433, 411995529, 25665442841, 1835264297881, 148192928581581, 13338664928207389, 1324344628799752981, 143792046846092303829, 16949599953405295395521, 2155710634160924802161041, 294250014166281073851809457

Offset: 0

Author

Seiichi Manyama, Aug 14 2023

Keywords

• nonn

Crossrefs

Cf. A361142, A364941.

Programs

PARI

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

Formula

a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(n+2*k-1,n-k)/k!.