A371118 E.g.f. satisfies A(x) = 1 - x^2*log(1 - x*A(x)).

1, 0, 0, 6, 12, 40, 900, 8568, 80640, 1170720, 19625760, 335079360, 6259524480, 132897697920, 3078950434560, 75934287475200, 2010354982272000, 57241482249369600, 1735591000023336960, 55694476130213652480, 1889613850762113638400

Offset

0,4

Links

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

Formula

a(n) = n! * Sum_{k=0..floor(n/3)} |Stirling1(n-2*k,k)|/(n-3*k+1)!.

Prog

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

Crossrefs

Cf. A138013, A371117.

Cf. A371116.

Sequence in context: A353228 A366752 A351503 * A355287 A362891 A371302

Adjacent sequences: A371115 A371116 A371117 * A371119 A371120 A371121

Keyword

nonn

Author

Seiichi Manyama, Mar 11 2024

Status

approved