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Search: id:A085642
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| A085642 |
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Number of columns in the character table of the symmetric group S_n that have zero sum. |
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+0
1
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| 0, 1, 1, 2, 3, 6, 8, 12, 17, 26, 35, 49, 66, 92, 121, 161, 211, 280, 360, 466, 596, 766, 968, 1225, 1538, 1935, 2408, 2996, 3707, 4588, 5636, 6918, 8456, 10329, 12552, 15236, 18431, 22275, 26817, 32242, 38661, 46306, 55294, 65942, 78464, 93252, 110561
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Conjecture: Equals the number of partitions of n with at least one part congruent to 2 mod 4. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 12 2003. This conjecture was established by Christine Bessenrodt (bessen(AT)math.uni-hannover.de) and Jorn B. Olsson (olsson(AT)math.ku.dk), Sep 13 2004.
Also number of partitions of n with some odd part repeated. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 05 2005
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LINKS
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Christine Bessenrodt and Jorn Olsson, On the sequence A085642
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CROSSREFS
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Cf. A006950.
Sequence in context: A122378 A111242 A133582 this_sequence A049194 A058298 A101136
Adjacent sequences: A085639 A085640 A085641 this_sequence A085643 A085644 A085645
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KEYWORD
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nonn
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AUTHOR
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Yuval Dekel (dekelyuval(AT)hotmail.com), Jul 11 2003
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EXTENSIONS
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Corrected and extended by Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 12 2003
More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 08 2005
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