id:A050334 - OEIS Search Results

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Number of ordered factorizations of n into numbers with an odd number of prime divisors.

+0
2

1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 4, 1, 2, 2, 3, 1, 4, 1, 4, 2, 2, 1, 8, 1, 2, 2, 4, 1, 7, 1, 5, 2, 2, 2, 10, 1, 2, 2, 8, 1, 7, 1, 4, 4, 2, 1, 15, 1, 4, 2, 4, 1, 8, 2, 8, 2, 2, 1, 18, 1, 2, 4, 8, 2, 7, 1, 4, 2, 7, 1, 23, 1, 2, 4, 4, 2, 7, 1, 15, 3, 2, 1, 18, 2, 2, 2, 8, 1, 18, 2, 4, 2, 2, 2, 28, 1, 4, 4 (list; graph; listen)

	OFFSET	`1,6`
	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 A026424.`
	CROSSREFS	`Cf. A002033, A026424, A050333. a(p^k)=A000045. a(A002110)=A006154.` `Sequence in context: A058232 A116933 A088433 this_sequence A161311 A161245 A161030` `Adjacent sequences: A050331 A050332 A050333 this_sequence A050335 A050336 A050337`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Oct 15 1999.`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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