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A055922
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Number of partitions of n in which each part occurs an odd number (or 0) times.
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8
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1, 1, 1, 3, 2, 5, 6, 9, 9, 16, 20, 25, 32, 40, 54, 69, 84, 101, 136, 156, 202, 244, 306, 357, 448, 527, 652, 773, 944, 1103, 1346, 1574, 1885, 2228, 2640, 3106, 3684, 4302, 5052, 5931, 6924, 8079, 9416, 10958, 12718, 14824, 17078, 19820, 22860, 26433
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| F. C. Auluck, K. S. Singwi and B. K. Agarwala, On a new type of partition, Proc. Nat. Inst. Sci. India 16 (1950) 147-156.
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FORMULA
| EULER transform of b where b has g.f. Sum {k>0} c(k)*x^k/(1-x^k) where c is inverse EULER transform of characteristic function of odd numbers.
G.f.: Product_{i>0} (1+x^i-x^(2*i))/(1-x^(2*i)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 03 2004
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CROSSREFS
| Cf. A000041, A007690, A055923.
Sequence in context: A154437 A083236 A079973 * A194072 A194105 A194012
Adjacent sequences: A055919 A055920 A055921 * A055923 A055924 A055925
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KEYWORD
| nonn
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), Jun 23 2000
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