id:A054685 - OEIS Search Results

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Number of partitions of n into distinct prime powers (1 not considered a power).

+0
4

1, 0, 1, 1, 1, 2, 1, 3, 2, 4, 3, 5, 5, 6, 7, 7, 10, 9, 12, 12, 15, 15, 18, 19, 22, 24, 26, 30, 32, 36, 39, 43, 48, 51, 57, 61, 68, 73, 79, 87, 93, 103, 108, 121, 127, 140, 148, 162, 173, 187, 200, 215, 232, 247, 266, 283, 306, 324, 348, 371, 397, 423, 450, 480, 512, 543, 579, 614 (list; graph; listen)

	OFFSET	`0,6`
	LINKS	`T. D. Noe, Table of n, a(n) for n=0..1000`
	FORMULA	`G.f.: Prod(p prime, Prod(k >= 1, 1 + x^(p^k)))`
	CROSSREFS	`Cf. A051613.` `Cf. A106244.` `Sequence in context: A029162 A005044 A029142 this_sequence A143618 A143619 A029141` `Adjacent sequences: A054682 A054683 A054684 this_sequence A054686 A054687 A054688`
	KEYWORD	`nonn`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net), Apr 19, 2000`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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