A371230 E.g.f. satisfies A(x) = 1 - x*A(x)^3*log(1 - x*A(x)^2).

1, 0, 2, 3, 128, 750, 29964, 377160, 15795072, 329631120, 15001287120, 449174341440, 22551082739712, 885381886509120, 49302509206648320, 2391802812599316480, 147728974730632012800, 8502972330919072688640, 580806950108814502345728

Offset

0,3

Links

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

Formula

a(n) = (n!/(2*n+1)!) * Sum_{k=0..floor(n/2)} (2*n+k)! * |Stirling1(n-k,k)|/(n-k)!.

Prog

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

Crossrefs

Cf. A371227, A371228, A371229.

Cf. A370993, A371232.

Cf. A371122.

Sequence in context: A095841 A004865 A006286 * A007608 A010343 A118169

Adjacent sequences: A371227 A371228 A371229 * A371231 A371232 A371233

Keyword

nonn

Author

Seiichi Manyama, Mar 15 2024

Status

approved