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A050379 Number of ordered factorizations of n into members of A050376. 1
1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 5, 1, 2, 2, 6, 1, 5, 1, 5, 2, 2, 1, 10, 2, 2, 3, 5, 1, 6, 1, 10, 2, 2, 2, 14, 1, 2, 2, 10, 1, 6, 1, 5, 5, 2, 1, 22, 2, 5, 2, 5, 1, 10, 2, 10, 2, 2, 1, 18, 1, 2, 5, 18, 2, 6, 1, 5, 2, 6, 1, 32, 1, 2, 5, 5, 2, 6, 1, 22, 6, 2, 1, 18, 2, 2, 2, 10, 1, 18, 2, 5, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

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).

LINKS

Table of n, a(n) for n=1..95.

FORMULA

Dirichlet g.f.: 1/(1-B(s)) where B(s) is d.g.f. of characteristic function of A050376.

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Christian G. Bower, Nov 15 1999

STATUS

approved

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Last modified December 9 20:00 EST 2016. Contains 278986 sequences.