18615432domain: NAppears in sequencesNumber of factorizations of permutations of n letters into cycles in nondecreasing length order.at n=10A007841E.g.f.: A(x,y) = exp(y)*P(x) - Q(x,y), where P(x) = 1/Product_{n>=1} (1 - x^n/n) and Q(x,y) = Sum_{n>=1} y^n / Product_{k=1..n} (k - x^k).at n=55A249480