A349600 E.g.f. satisfies: A(x)^A(x) = 1 + x*A(x)^2.

1, 1, 2, 3, -20, -320, -2274, 5474, 487432, 8358480, 37944240, -2286868848, -81319780200, -1139790073968, 18382692073032, 1570867988794680, 42704382709868736, 55662087673489920, -49662902468183117760, -2360239974764654675904, -38098700311039336972800

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..399

Formula

a(n) = Sum_{k=0..n} (2*n-k+1)^(k-1) * Stirling1(n,k).

Prog

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

Crossrefs

Cf. A216135, A349601, A349602.

Cf. A120980, A349587.

Sequence in context: A361028 A177946 A006246 * A110372 A292866 A132421

Adjacent sequences: A349597 A349598 A349599 * A349601 A349602 A349603

Keyword

sign

Author

Seiichi Manyama, Nov 22 2021

Status

approved