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A203851
E.g.f.: Sum_{n>=0} Product_{k=1..n} -log(1-x^k)/(1-x^k).
1
1, 1, 3, 17, 86, 674, 5604, 55236, 579648, 7302816, 95738400, 1391181120, 21792119040, 366215610240, 6581045197440, 126809720795520, 2559529594782720, 54828458042158080, 1242024477363855360, 29351942535941867520, 729546143909048524800
OFFSET
0,3
LINKS
EXAMPLE
E.g.f.: A(x) = 1 + x + 3*x^2/2! + 17*x^3/3! + 86*x^4/4! + 674*x^5/5! +...
where
A(x) = 1 - log(1-x)/(1-x) + log(1-x)*log(1-x^2)/((1-x)*(1-x^2)) - log(1-x)*log(1-x^2)*log(1-x^3)/((1-x)*(1-x^2)*(1-x^3)) +...
PROG
(PARI) {a(n)=n!*polcoeff(1+sum(m=1, n, prod(k=1, m, -log(1-x^k +x*O(x^n))/(1-x^k) ) ), n)}
CROSSREFS
Sequence in context: A119884 A143549 A037794 * A198766 A240652 A204092
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jan 29 2012
STATUS
approved