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A002601
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A generalized partition function.
(Formerly M4694 N2004)
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0
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1, 10, 34, 58, 73, 79, 86, 152, 265, 457, 763, 1268, 2058, 3308, 5236, 8220, 12731, 19546, 29685, 44702, 66714, 98806, 145154, 211756, 306667, 441249, 630771, 896344, 1266146, 1778692, 2485086, 3454206, 4777165, 6575350, 9008159
(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(7, t)), x, 1+max(7, t)), x, max(7, 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: A045087 A119086 A195900 * A020495 A155486 A008527
Adjacent sequences: A002598 A002599 A002600 * A002602 A002603 A002604
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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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