id:A134337 - OEIS Search Results

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Number of partitions into distinct odd squarefree parts.

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1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 4, 3, 4, 5, 5, 6, 6, 7, 8, 7, 8, 9, 9, 11, 10, 12, 14, 14, 16, 17, 20, 21, 21, 25, 27, 27, 29, 31, 35, 35, 36, 42, 44, 45, 49, 55, 59, 61, 66, 74, 77, 81, 87, 93, 99, 102, 110, 117, 123, 131, 138, 148, 159, 167, 178, 190, 204, 215, 225 (list; graph; listen)

	OFFSET	`0,9`
	COMMENT	`Also number of partitions into distinct parts m such that 2*m is squarefree`
	LINKS	`fxtbook (Joerg Arndt)`
	FORMULA	`prod(n=1,infinity, 1+moebius(2n-1)^2x^(2n-1) ) ) prod(n=1,infinity, 1+moebius(2n)^2*x^(n) ) )`
	PROGRAM	`(PARI) Vec( prod(n=1, 1000, 1+moebius(2n-1)^2x^(2n-1) ) ) / also Vec( prod(n=1, 1000, 1+moebius(2n)^2x^(n) ) ) */`
	CROSSREFS	`Sequence in context: A112689 A025829 A029285 this_sequence A053633 A090822 A091975` `Adjacent sequences: A134334 A134335 A134336 this_sequence A134338 A134339 A134340`
	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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