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Search: id:A002599
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| A002599 |
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A generalized partition function.
(Formerly M4106 N1703)
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+0
1
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| 1, 6, 15, 19, 24, 42, 73, 127, 208, 337, 528, 827, 1263, 1902, 2819, 4133, 5986, 8578, 12146, 17057, 23711, 32708, 44726, 60713, 81800, 109468, 145526, 192288, 252521, 329792, 428316, 553478, 711596, 910563, 1159790, 1470798, 1857286, 2335838
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
Gupta, Hansraj; A generalization of the partition function. Proc. Nat. Inst. Sci. India 17, (1951). 231-238.
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MAPLE
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J:= m-> product ((1-x^j)^(-j), j=1..m): a:= t-> coeff (series (J (min(5, t)), x, 1+max(5, t)), x, max(5, t)): seq (a(n), n=1..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 20 2009]
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CROSSREFS
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Adjacent sequences: A002596 A002597 A002598 this_sequence A002600 A002601 A002602
Sequence in context: A138922 A044058 A105139 this_sequence A001484 A087110 A063266
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 20 2009
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