id:A134345 - OEIS Search Results

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Number of partitions into odd squarefree parts.

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1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 27, 32, 38, 44, 52, 61, 71, 82, 95, 109, 126, 144, 165, 189, 215, 245, 278, 316, 358, 405, 458, 516, 581, 654, 734, 824, 923, 1033, 1155, 1289, 1438, 1602, 1783, 1982, 2202, 2444, 2710, 3002, 3323, 3675, 4061 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`Also number of partitions into parts m such that 2*m is squarefree.`
	LINKS	`fxtbook (Joerg Arndt)`
	FORMULA	`1/prod(n=1,infinity, 1-moebius(2n-1)^2x^(2n-1)) 1/prod(n=1,infinity, 1-moebius(2n)^2*x^(n))`
	PROGRAM	`(PARI) Vec( 1/prod(n=1, 1000, 1-moebius(2n-1)^2x^(2*n-1) ) )`
	CROSSREFS	`Sequence in context: A017863 A088567 A029014 this_sequence A112193 A014215 A067014` `Adjacent sequences: A134342 A134343 A134344 this_sequence A134346 A134347 A134348`
	KEYWORD	`nonn`
	AUTHOR	`Joerg Arndt (arndt(AT)jjj.de), Aug 27 2008`

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.

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