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a(n) depends only on prime signature of n (cf. A025487). So a(24) = a(375) since 24=2^3*3 and 375=3*5^3 both have prime signature (3,1).
Table of n, a(n) for n=1..95.
Dirichlet g.f.: 1/(1-B(s)) where B(s) is d.g.f. of characteristic function of A050376.
Cf. A002033, A050376-A050380. a(p^k)=A023359. a(A002110)=A000142=n!.
Sequence in context: A129138 A112970 A112971 * A153024 A066921 A076649
Adjacent sequences: A050376 A050377 A050378 * A050380 A050381 A050382
Christian G. Bower, Nov 15 1999.