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A377687
E.g.f. satisfies A(x) = 1 - x*log(1 - x*A(x)^3).
2
1, 0, 2, 3, 80, 570, 12744, 198660, 4969152, 119968128, 3607836480, 115031711520, 4163170478400, 162622297300320, 6952158785424384, 319741032356928000, 15818989359665802240, 835755271882288128000, 47015148988105365288960, 2804276310235518168161280
OFFSET
0,3
FORMULA
a(n) = n! * Sum_{k=0..floor(n/2)} (3*n-3*k)! * |Stirling1(n-k,k)|/( (n-k)! * (3*n-4*k+1)! ).
PROG
(PARI) a(n) = n!*sum(k=0, n\2, (3*n-3*k)!*abs(stirling(n-k, k, 1))/((n-k)!*(3*n-4*k+1)!));
CROSSREFS
Sequence in context: A371141 A370993 A371228 * A068185 A037391 A037427
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Nov 04 2024
STATUS
approved