A203851 E.g.f.: Sum_{n>=0} Product_{k=1..n} -log(1-x^k)/(1-x^k).

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

Vaclav Kotesovec, Table of n, a(n) for n = 0..250

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

Adjacent sequences: A203848 A203849 A203850 * A203852 A203853 A203854

Keyword

nonn

Author

Paul D. Hanna, Jan 29 2012

Status

approved