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Search: id:A067619
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| A067619 |
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Total number of parts in all self-conjugate partitions of n. Also, sum of largest parts of all self-conjugate partitions of n. |
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+0
2
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| 0, 1, 0, 2, 2, 3, 3, 4, 7, 8, 9, 10, 15, 16, 18, 23, 30, 32, 35, 42, 51, 59, 63, 73, 89, 100, 106, 125, 145, 160, 174, 198, 229, 255, 274, 310, 355, 388, 420, 472, 534, 582, 631, 701, 784, 859, 928, 1021, 1144, 1243, 1338, 1475, 1630, 1767, 1909, 2089, 2299
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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G.f.: Sum for n>=1 of n q^(2n-1) (1+q) (1+q^3) ... (1+q^(2n-3)).
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MATHEMATICA
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CoefficientList[Series[Sum[n*q^(2n-1)*Product[1+q^k, {k, 1, 2n-3, 2}], {n, 1, 30}], {q, 0, 60}], q]
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CROSSREFS
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Cf. A000700, A000701, A046682.
Sequence in context: A146930 A164529 A153906 this_sequence A146922 A165120 A165129
Adjacent sequences: A067616 A067617 A067618 this_sequence A067620 A067621 A067622
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KEYWORD
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easy,nonn
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AUTHOR
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Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 01 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Feb 11 2002
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