id:A050374 - OEIS Search Results

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Number of ordered factorizations of n into composite factors.

+0
1

1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 3, 1, 1, 1, 1, 0, 1, 0, 3, 1, 1, 1, 4, 0, 1, 1, 3, 0, 1, 0, 1, 1, 1, 0, 5, 1, 1, 1, 1, 0, 3, 1, 3, 1, 1, 0, 5, 0, 1, 1, 5, 1, 1, 0, 1, 1, 1, 0, 7, 0, 1, 1, 1, 1, 1, 0, 5, 2, 1, 0, 5, 1, 1, 1, 3, 0, 5, 1, 1, 1, 1, 1, 10, 0, 1, 1, 4, 0, 1 (list; graph; listen)

	OFFSET	`1,16`
	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 composite numbers.`
	CROSSREFS	`Cf. A002033, A002808, A050370-A050375. a(p^k)=A000045(n-1). a(A002110)=A032032.` `Adjacent sequences: A050371 A050372 A050373 this_sequence A050375 A050376 A050377` `Sequence in context: A090465 A052344 A050370 this_sequence A047886 A014944 A015879`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Nov 15 1999.`

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.

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