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A023894 Number of partitions of n into prime power parts (1 excluded). +0
5
1, 0, 1, 1, 2, 2, 3, 4, 6, 7, 9, 12, 15, 19, 23, 29, 37, 44, 54, 66, 80, 96, 115, 138, 165, 196, 231, 275, 322, 380, 443, 520, 607, 705, 819, 950, 1099, 1268, 1461, 1681, 1932, 2214, 2533, 2898, 3305, 3768, 4285, 4872, 5530, 6267, 7094, 8022, 9060 (list; graph; listen)
OFFSET

0,5

LINKS

E. Grosswald, Partitions into prime powers

FORMULA

G.f.: Prod(p prime, Prod(k >= 1, 1/(1-x^(p^k))))

CROSSREFS

Cf. A023893.

Sequence in context: A036806 A039908 A093950 this_sequence A059777 A017830 A026928

Adjacent sequences: A023891 A023892 A023893 this_sequence A023895 A023896 A023897

KEYWORD

nonn

AUTHOR

Olivier Gerard (ogerard(AT)ext.jussieu.fr)

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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