A377451 E.g.f. satisfies A(x) = 1/(1 - A(x)^4 * (exp(x) - 1)).

1, 1, 11, 241, 8171, 377401, 22118531, 1572752161, 131565858491, 12661132904521, 1378019469008051, 167374385250354481, 22443998566390975211, 3293411316452536046041, 524941525063836265071971, 90316250360918785641307201, 16682672480771981403086626331, 3292860351837963891732540729961

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=0..n} (5*k)!/(4*k+1)! * Stirling2(n,k).

Prog

(PARI) a(n) = sum(k=0, n, (5*k)!/(4*k+1)!*stirling(n, k, 2));

Crossrefs

Cf. A367161, A377450.

Cf. A377454.

Sequence in context: A089328 A077422 A361143 * A267642 A267665 A196258

Adjacent sequences: A377448 A377449 A377450 * A377452 A377453 A377454

Keyword

nonn

Author

Seiichi Manyama, Oct 28 2024

Status

approved