id:A073576 - OEIS Search Results

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Number of partitions of n into square-free parts.

+0
5

1, 1, 2, 3, 4, 6, 9, 12, 16, 21, 28, 36, 47, 60, 76, 96, 120, 150, 185, 228, 280, 342, 416, 504, 608, 731, 877, 1048, 1249, 1484, 1759, 2079, 2452, 2885, 3387, 3968, 4640, 5413, 6304, 7328, 8504, 9852, 11395, 13159, 15172, 17468, 20082, 23056, 26434 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Essentially the same as A058647?` `Euler transform of the absolute values of A008683 [From Tilman Neumann (Tilman.Neumann(AT)web.de), Dec 13 2008]`
	FORMULA	`G.f.: 1/Product_{k>0} (1-x^A005117(k)). a(n)= 1/nSum_{k=1..n} A048250(k)a(n-k).` `a(n) = A000041(n) - A114374(n) - A117395(n), n>0. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 11 2006`
	CROSSREFS	`Cf. A058647.` `Cf. A087188.` `Sequence in context: A060729 A155510 A058647 this_sequence A069907 A001935 A083365` `Adjacent sequences: A073573 A073574 A073575 this_sequence A073577 A073578 A073579`
	KEYWORD	`nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 27 2002`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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