A377324 E.g.f. satisfies A(x) = 1 + (exp(x*A(x)^3) - 1)/A(x).

1, 1, 5, 52, 839, 18436, 513797, 17366224, 690366875, 31565619916, 1632064968929, 94159057903384, 5996889060457055, 417920884113926740, 31634205840603000221, 2584579552124805784672, 226699825143636127509347, 21247444370267806167804316, 2119206766514801966851437113

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = Sum_{k=0..n} (3*n-k)!/(3*n-2*k+1)! * Stirling2(n,k).

Prog

(PARI) a(n) = sum(k=0, n, (3*n-k)!/(3*n-2*k+1)!*stirling(n, k, 2));

Crossrefs

Cf. A052752, A367135, A367181, A377328.

Cf. A367180, A377326.

Sequence in context: A365012 A367165 A381444 * A357346 A196531 A108459

Adjacent sequences: A377321 A377322 A377323 * A377325 A377326 A377327

Keyword

nonn

Author

Seiichi Manyama, Oct 24 2024

Status

approved