id:A050379 - OEIS Search Results

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Number of ordered factorizations of n into members of A050376.

+0
2

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; listen)

	OFFSET	`1,4`
	COMMENT	`a(n) depends only on prime signature of n (cf. A025487). So a(24) = a(375) since 24=2^33 and 375=35^3 both have prime signature (3,1).`
	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 this_sequence A153024 A066921 A076649` `Adjacent sequences: A050376 A050377 A050378 this_sequence A050380 A050381 A050382`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Nov 15 1999.`

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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.

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