A057567 - OEIS

This site is supported by donations to The OEIS Foundation.

A057567

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

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; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`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 * A005128 A129296 A125296` `Adjacent sequences: A057564 A057565 A057566 * A057568 A057569 A057570`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet 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.rs), Nov 19 2000`

Content is available under The OEIS End-User License Agreement .

Last modified February 17 21:13 EST 2012. Contains 206085 sequences.