id:A057567 - OEIS Search Results

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Number of partitions of n where product of parts divides n.

+0
6

1, 2, 2, 4, 2, 5, 2, 7, 4, 5, 2, 11, 2, 5, 5, 12, 2, 11, 2, 11, 5, 5, 2, 21, 4, 5, 7, 11, 2, 15, 2, 19, 5, 5, 5, 26, 2, 5, 5, 21, 2, 15, 2, 11, 11, 5, 2, 38, 4, 11, 5, 11, 2, 21, 5, 21, 5, 5, 2, 36, 2, 5, 11, 30, 5, 15, 2, 11, 5, 15, 2, 52, 2, 5, 11, 11, 5, 15, 2, 38, 12, 5, 2, 36, 5, 5, 5, 21 (list; graph; listen)

	OFFSET	`1,2`
	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). - Christian G. Bower, (bowerc(AT)usa.net), Jun 03 2005`
	FORMULA	`Sum_{ d divides n } A001055(d). - Vladeta Jovovic`
	CROSSREFS	`Cf. A057568. Any prime numbered column of A108461. a(A025487)=A108464. a(p^k)=A000070(k). a(A002110)=A000110(n+1).` `Sequence in context: A133911 A069932 A056148 this_sequence A005128 A129296 A125296` `Adjacent sequences: A057564 A057565 A057566 this_sequence A057568 A057569 A057570`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet (qq-quet(AT)mindspring.com), Oct 04 2000`
	EXTENSIONS	`More terms from James A. Sellers (sellersj(AT)math.psu.edu), Oct 09 2000; and from Vladeta Jovovic (vladeta(AT)Eunet.yu), Nov 19 2000`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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