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A371200
Expansion of e.g.f. 1/(1 + x * log(1 - x^3 - x^4)).
1
1, 0, 0, 0, 24, 120, 0, 2520, 80640, 907200, 4838400, 79833600, 2395008000, 40994553600, 515804889600, 10025503488000, 286642221465600, 6669139276800000, 133382785536000000, 3254006435936256000, 98762305409703936000, 2851300331032817664000
OFFSET
0,5
FORMULA
a(n) = n! * Sum_{j=0..floor(n/3)} Sum_{k=0..j} k! * binomial(j,n-3*j-k) * |Stirling1(j,k)|/j!.
PROG
(PARI) a(n) = n!*sum(j=0, n\3, sum(k=0, j, k!*binomial(j, n-3*j-k)*abs(stirling(j, k, 1))/j!));
CROSSREFS
Cf. A371160.
Sequence in context: A211465 A371184 A371160 * A293893 A137799 A369541
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Mar 15 2024
STATUS
approved