A371158 Expansion of e.g.f. 1/(1 - x - x^2)^(x^3).

1, 0, 0, 0, 24, 180, 960, 8820, 108864, 1632960, 23954400, 384199200, 6861697920, 135022567680, 2876013241920, 65658485692800, 1604427163637760, 41810951313331200, 1157676145894195200, 33929486073121766400, 1049361044291348428800

Offset

0,5

Links

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

Formula

a(n) = n! * Sum_{j=0..n} Sum_{k=0..floor(j/3)} binomial(j-2*k,n-j-k) * |Stirling1(j-2*k,k)|/(j-2*k)!.

Prog

(PARI) a(n) = n!*sum(j=0, n, sum(k=0, j\3, binomial(j-2*k, n-j-k)*abs(stirling(j-2*k, k, 1))/(j-2*k)!));

Crossrefs

Cf. A088369, A371157.

Sequence in context: A297522 A165187 A052761 * A371198 A073993 A214310

Adjacent sequences: A371155 A371156 A371157 * A371159 A371160 A371161

Keyword

nonn

Author

Seiichi Manyama, Mar 13 2024

Status

approved