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Search: id:A002597
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| A002597 |
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A generalized partition function.
(Formerly M2533 N1000)
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+0
3
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| 1, 1, 3, 6, 9, 15, 25, 34, 51, 73, 97, 132, 178, 226, 294, 376, 466, 582, 722, 872, 1062, 1282, 1522, 1812, 2147, 2507, 2937, 3422, 3947, 4557, 5243, 5978, 6825, 7763, 8771, 9912, 11172, 12516, 14028, 15680, 17444, 19404, 21540, 23808, 26316, 29028
(list; graph; listen)
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OFFSET
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0,3
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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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FORMULA
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Generating function: 1/((1-x)*(1-x^2)^2*(1-x^3)^3)
Euler transform of [1, 2, 3, 0, 0, 0, 0, 0, ...]. - Thomas Wieder (wieder.thomas(AT)t-online.de), Mar 13 2005
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CROSSREFS
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Cf. A064349.
Sequence in context: A082004 A112773 A070885 this_sequence A057855 A070120 A070126
Adjacent sequences: A002594 A002595 A002596 this_sequence A002598 A002599 A002600
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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 and formula from Henry Bottomley (se16(AT)btinternet.com), Sep 17 2001
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