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A054685 Number of partitions of n into distinct prime powers (1 not considered a power). 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; refs; listen; history; internal format)
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 * A143619 A029141 A058742

Adjacent sequences:  A054682 A054683 A054684 * A054686 A054687 A054688

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net), Apr 19, 2000

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Last modified February 15 23:34 EST 2012. Contains 205860 sequences.