A371199 Expansion of e.g.f. 1/(1 + x * log(1 - x^2 - x^3)).

1, 0, 0, 6, 24, 60, 1440, 14280, 120960, 1905120, 29937600, 433762560, 7823692800, 155675520000, 3117592558080, 68545488211200, 1640346727219200, 40864533405696000, 1079108655290265600, 30355641777517056000, 894726263032842240000

Offset

0,4

Links

Table of n, a(n) for n=0..20.

Formula

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

Prog

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

Crossrefs

Cf. A371196, A371200.

Cf. A371159.

Sequence in context: A358081 A371045 A371159 * A362703 A371046 A371019

Adjacent sequences: A371196 A371197 A371198 * A371200 A371201 A371202

Keyword

nonn

Author

Seiichi Manyama, Mar 15 2024

Status

approved