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A055923
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Number of partitions of n in which each part occurs a prime number (or 0) times.
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2
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1, 0, 1, 1, 1, 1, 3, 2, 3, 4, 4, 6, 8, 8, 10, 13, 13, 20, 20, 24, 26, 38, 35, 51, 51, 65, 67, 92, 86, 121, 117, 153, 155, 209, 197, 270, 262, 339, 341, 444, 425, 565, 555, 703, 711, 903, 884, 1135, 1128, 1397, 1430, 1766, 1757, 2193, 2214, 2691, 2762, 3344
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,7
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FORMULA
| EULER transform of b where b has g.f. Sum {k>0} c(k)*x^k/(1-x^k) where c is inverse EULER transform of characteristic function of prime numbers.
G.f.: Product(1+Sum(x^(i*prime(k)), k=1..infinity), i=1..infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 08 2005
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CROSSREFS
| Cf. A000041, A007690, A055922.
Sequence in context: A077070 A075988 A029150 * A035634 A091563 A161985
Adjacent sequences: A055920 A055921 A055922 * A055924 A055925 A055926
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KEYWORD
| nonn
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), Jun 23 2000
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