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A002602
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A generalized partition function.
(Formerly M4965 N2130)
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0
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1, 15, 51, 97, 127, 145, 152, 160, 273, 481, 811, 1372, 2250, 3692, 5924, 9472, 14887, 23310, 36005, 55314, 84042, 126998, 190138, 283108, 418175, 614429, 896439, 1301168, 1876826, 2693988, 3845134, 5462744, 7720947, 10864828, 15216527
(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(8, t)), x, 1+max(8, t)), x, max(8, 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: A044117 A044498 A138082 * A098831 A039405 A043228
Adjacent sequences: A002599 A002600 A002601 * A002603 A002604 A002605
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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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