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A371199
Expansion of e.g.f. 1/(1 + x * log(1 - x^2 - x^3)).
1
1, 0, 0, 6, 24, 60, 1440, 14280, 120960, 1905120, 29937600, 433762560, 7823692800, 155675520000, 3117592558080, 68545488211200, 1640346727219200, 40864533405696000, 1079108655290265600, 30355641777517056000, 894726263032842240000
OFFSET
0,4
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. A371159.
Sequence in context: A358081 A371045 A371159 * A362703 A371046 A371019
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Mar 15 2024
STATUS
approved