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A002600
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A generalized partition function.
(Formerly M4686 N2002)
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0
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1, 10, 25, 37, 42, 48, 79, 145, 244, 415, 672, 1100, 1722, 2727, 4193, 6428, 9658, 14478, 21313, 31304, 45329, 65311, 93074, 132026, 185413, 259242, 359395, 495839, 679175, 926064, 1254360, 1691753, 2268267, 3028345, 4021954, 5320139, 7003154
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| Gupta, Hansraj; A generalization of the partition function. Proc. Nat. Inst. Sci. India 17, (1951). 231-238.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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MAPLE
| J:= m-> product ((1-x^j)^(-j), j=1..m): a:= t-> coeff (series (J (min(6, t)), x, 1+max(6, t)), x, max(6, t)): seq (a(n), n=1..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 20 2009]
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CROSSREFS
| Sequence in context: A014090 A154057 A074814 * A087473 A014120 A003001
Adjacent sequences: A002597 A002598 A002599 * A002601 A002602 A002603
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 20 2009
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