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A038499
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Number of partitions into a prime number of parts.
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5
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1, 0, 1, 2, 3, 5, 7, 10, 13, 18, 23, 31, 39, 52, 65, 84, 104, 134, 165, 210, 258, 324, 397, 495, 603, 747, 908, 1115, 1351, 1652, 1993, 2425, 2918, 3531, 4237, 5106, 6105, 7330, 8741, 10449, 12425, 14804, 17549, 20839, 24637
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Also, number of partitions beginning with a prime. e.g. for a(7)=10 we have 6+1=5+2=4+3=5+1+1=4+2+1=3+3+1=3+2+2=3+1+1+1+1=2+2+1+1+1=1+1+1+1+1+1+1 and 7=5+2=5+1+1=3+3+1=3+2+2=3+2+1+1=3+1+1+1+1=2+2+2+1=2+2+1+1+1=2+1+1+1+1+1. - Jon Perry (perry(AT)globalnet.co.uk) Jul 06 2004
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FORMULA
| G.f.: Sum(x^prime(n)/Product(1-x^i, i = 1 .. prime(n)), n = 1 .. infinity). - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 25 2003
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CROSSREFS
| Sequence in context: A026811 A001401 A008628 * A118199 A088318 A038083
Adjacent sequences: A038496 A038497 A038498 * A038500 A038501 A038502
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KEYWORD
| nonn
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), Feb 15 1999.
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