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Search: id:A104274
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| A104274 |
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Number of partitions of n in which odd squares occur with 2 types c,c* and with multiplicity 1. The even squares and parts that are twice the squares they occur with multiplicity 1. |
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+0
1
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| 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 12, 14, 16, 18, 18, 18, 18, 18, 18, 22, 26, 28, 30, 30, 30, 30, 30, 30, 34, 38, 40, 42, 42, 42, 44, 48, 50, 54, 58, 60, 62, 62, 62, 66, 74, 78, 82, 86, 88, 90, 90, 90
(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_{k>0}((1+x^(2k-1)^2)/(1-x^(2k-1)^2)).
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EXAMPLE
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E.g. a(10)=6 because we can write it as 91,91*,9*1,9*1*,82,811*.
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MAPLE
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series(product((1+x^((2*k-1)^2))/(1-x^(2*k-1)^2)), k=1..100), x=0, 100);
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CROSSREFS
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Sequence in context: A103376 A045818 A064128 this_sequence A008857 A047935 A103795
Adjacent sequences: A104271 A104272 A104273 this_sequence A104275 A104276 A104277
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KEYWORD
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easy,nonn
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AUTHOR
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Noureddine Chair (n.chair(AT)rocketmail.com), Feb 27 2005
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