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A102346
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Number of partitions of 2n in which odd parts and multiples of 3 and 5 occur with even multiplicities. There is no restriction on the other even parts.
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2
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1, 2, 4, 7, 12, 19, 30, 46, 69, 101, 146, 208, 293, 408, 563, 769, 1042, 1401, 1871, 2482, 3273, 4291, 5596, 7261, 9378, 12057, 15437, 19684, 25005, 31648, 39919
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..31.
Noureddine Chair, Partition Identities From Partial Supersymmetry, arXiv:hep-th/0409011v1, 2004.
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FORMULA
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G.f.: Product((1+x^k)*(1+x^(15*k))/((1-x^k)*(1+x^(3*k))*(1+x^(5*k))), k=1..infinity ).
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EXAMPLE
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a(10) = 19 because 10 = 8 + 2 = 8 + 1 + 1 = 5 + 5 = 4 + 4 + 2 = 4 + 4 + 1 + 1 = 4 + 2 + 2 + 2 = 4 + 2 + 2 + 1 + 1 = 4 + 2 + 1 + 1 + 1 + 1 = 4 + 3 + 3 = 3 + 3 + 2 + 2 = 3 + 3 + 2 + 1 + 1 = 3 + 3 + 1 + 1 + 1 + 1 = 4 + 1 + 1 + 1 + 1 + 1 + 1 = 2 + 2 + 2 + 2 + 2 = 2 + 2 + 2 + 2 + 1 + 1 = 2 + 2 + 2 + 1 + 1 + 1 + 1 = 2 + 2 + 1 + 1 + 1 + 1 + 1 + 1 = 2 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1.
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CROSSREFS
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Cf. A098151.
Sequence in context: A000070 A008609 A100823 * A018147 A125892 A072642
Adjacent sequences: A102343 A102344 A102345 * A102347 A102348 A102349
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KEYWORD
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nonn
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AUTHOR
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Noureddine Chair, Feb 21 2005
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EXTENSIONS
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Corrected by Vladeta Jovovic, Feb 21 2005
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STATUS
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approved
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