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Search: id:A117275
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| A117275 |
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Number of partitions of n with no even parts repeated and with no 1's. |
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+0
2
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| 1, 0, 1, 1, 1, 2, 3, 3, 4, 6, 7, 9, 12, 14, 18, 23, 27, 34, 42, 50, 62, 75, 89, 108, 130, 154, 184, 220, 259, 307, 364, 426, 502, 590, 688, 806, 941, 1093, 1272, 1478, 1710, 1980, 2290, 2638, 3042, 3503, 4021, 4618, 5296, 6060, 6934, 7924, 9038, 10306, 11740
(list; graph; listen)
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OFFSET
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0,6
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COMMENT
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Column 0 of A117274.
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FORMULA
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G.f.=(1+x^2)*product((1+x^(2k))/(1-x^(2k-1)), k=2..infinity).
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EXAMPLE
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a(8)=4 because we have [8],[6,2],[5,3] and [3,3,2].
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MAPLE
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g:=(1+x^2)*product((1+x^(2*k))/(1-x^(2*k-1)), k=2..53): gser:=series(g, x=0, 62): seq(coeff(gser, x, n), n=0..58);
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CROSSREFS
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Cf. A117274.
Sequence in context: A101195 A123552 A071610 this_sequence A081230 A036021 A036025
Adjacent sequences: A117272 A117273 A117274 this_sequence A117276 A117277 A117278
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KEYWORD
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nonn
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AUTHOR
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Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2006
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