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Search: id:A100847
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| A100847 |
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Number of partitions of 2n in which each odd part has even multiplicity and each even part has odd multiplicity. |
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+0
2
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| 1, 2, 3, 7, 10, 17, 28, 42, 62, 93, 137, 193, 276, 383, 532, 734, 997, 1342, 1807, 2400, 3177, 4190, 5478, 7130, 9245, 11923, 15305, 19591, 24957, 31673, 40075, 50518, 63460, 79523, 99296, 123664
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: Product_{i>0} (1+x^i-x^(2*i))/(1-x^i).
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EXAMPLE
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a(3)=7 because we have 6, 42, 411, 33, 222, 21111, and 111111.
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MAPLE
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g:=product((1+x^i-x^(2*i))/(1-x^i), i=1..50): gser:=series(g, x=0, 40): seq(coeff(gser, x, n), n=0..35); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 25 2007
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CROSSREFS
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Cf. A055922, A117958, A130126, A131942, A102247.
Adjacent sequences: A100844 A100845 A100846 this_sequence A100848 A100849 A100850
Sequence in context: A048448 A054060 A024832 this_sequence A095010 A047082 A079380
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 16 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 25 2007
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