A377350 E.g.f. satisfies A(x) = 1 - log(1 - x*A(x)^3)/A(x)^3.

1, 1, 1, 11, 108, 1584, 29808, 674988, 18091944, 557844408, 19468760904, 758698622472, 32653135227936, 1538316755200224, 78737559447563136, 4350956519444451840, 258163046132873143680, 16370486288763937324416, 1104824513292622360789248, 79068747951669626322531840

Offset

0,4

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = Sum_{k=0..floor((3*n+1)/4)} (3*n-3*k)!/(3*n-4*k+1)! * |Stirling1(n,k)|.

Prog

(PARI) a(n) = sum(k=0, (3*n+1)\4, (3*n-3*k)!/(3*n-4*k+1)!*abs(stirling(n, k, 1)));

Crossrefs

Cf. A365546, A367139, A367152, A377323, A377327.

Cf. A377325, A377349.

Sequence in context: A080158 A156935 A308965 * A071380 A142423 A159495

Adjacent sequences: A377347 A377348 A377349 * A377351 A377352 A377353

Keyword

nonn

Author

Seiichi Manyama, Oct 26 2024

Status

approved