id:A087188 - OEIS Search Results

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Number of partitions of n into distinct square-free parts.

+0
2

1, 1, 2, 1, 2, 3, 3, 4, 4, 5, 6, 6, 8, 9, 10, 13, 14, 16, 18, 20, 24, 27, 30, 35, 37, 42, 47, 51, 59, 64, 72, 81, 88, 98, 109, 120, 134, 147, 163, 179, 195, 216, 236, 258, 284, 310, 339, 371, 403, 441, 480, 523, 572, 621, 675, 734, 796, 865, 937, 1014, 1100, 1189 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`O.g.f.: product_{i=1,2,...infinity} [1+x^A005117(i)]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 16 2008`
	EXAMPLE	`n=9: 5+3+1 = 6+2+1 = 6+3 = 7+2: a(9)=4;` `n=10: 5+3+2 = 6+3+1 = 7+2+1 = 7+3 = 10: a(10)=5.`
	CROSSREFS	`Cf. A073576, A000009, A005117.` `Sequence in context: A081366 A129636 A048219 this_sequence A102885 A138585 A070048` `Adjacent sequences: A087185 A087186 A087187 this_sequence A087189 A087190 A087191`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 24 2003`

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Last modified November 25 13:47 EST 2009. Contains 167481 sequences.

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