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A050368
Number of ways to factor n into distinct factors with 2 kinds of 2, 3 kinds of 3, ...
21
1, 2, 3, 5, 5, 12, 7, 16, 12, 20, 11, 39, 13, 28, 30, 42, 17, 60, 19, 65, 42, 44, 23, 126, 35, 52, 55, 91, 29, 150, 31, 116, 66, 68, 70, 219, 37, 76, 78, 210, 41, 210, 43, 143, 150, 92, 47, 378, 70, 170, 102, 169, 53, 290, 110, 294, 114, 116, 59, 570, 61, 124, 210
OFFSET
1,2
LINKS
FORMULA
Dirichlet g.f.: Product_{n>=2}((1+1/n^s)^n).
PROG
(PARI) seq(n)={my(v=vector(n, k, k==1)); for(k=2, n, my(m=logint(n, k), p=(1 + x + O(x*x^m))^k, w=vector(n)); for(i=0, m, w[k^i]=polcoef(p, i)); v=dirmul(v, w)); v} \\ Andrew Howroyd, Oct 27 2019
CROSSREFS
Sequence in context: A152076 A133278 A343395 * A156834 A376017 A079024
KEYWORD
nonn
AUTHOR
Christian G. Bower, Oct 15 1999
STATUS
approved