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Search: id:A092311
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| A092311 |
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Total number of largest parts in all partitions of n into odd parts. |
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+0
11
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| 1, 2, 4, 5, 7, 10, 12, 14, 19, 23, 26, 33, 38, 44, 56, 63, 71, 88, 99, 114, 138, 155, 176, 208, 237, 269, 314, 357, 402, 468, 529, 594, 686, 772, 873, 999, 1119, 1260, 1431, 1608, 1804, 2039, 2284, 2554, 2884, 3219, 3590, 4032, 4493, 5011, 5603, 6231, 6928
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OFFSET
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1,2
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FORMULA
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G.f.: Sum((x^(2*n-1)/(1-x^(2*n-1)))/Product((1-x^(2*k-1)), k=1..n), n=1..infinity).
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EXAMPLE
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Partitions of 6 into odd parts are: [1,1,1,1,1,1], [1,1,1,3], [3,3], [1,5]; thus a(6)=6+1+2+1=10.
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CROSSREFS
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Cf. A092314 A092322 A092269 A092309 A092321 A092313 A092310 A092268
Sequence in context: A093013 A047495 A005653 this_sequence A058212 A007997 A123120
Adjacent sequences: A092308 A092309 A092310 this_sequence A092312 A092313 A092314
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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.rs), Feb 16 2004
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EXTENSIONS
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More terms from Pab Ter (pabrlos(AT)yahoo.com), May 25 2004
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