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A085547
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a(n) is the maximal row sum in the character table of the symmetric group S_n.
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2
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1, 2, 3, 5, 7, 15, 36, 81, 207, 721, 2376, 7507, 21738, 73374, 282743, 1171196, 4788339, 16873326, 67358487, 254348771, 1112160513, 5501381580, 28156192351, 119664751353, 562988633501, 2493170384313, 12700046797629, 57276361610664, 296047270811158
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OFFSET
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1,2
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COMMENTS
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The minimal row sum in the table corresponds to the one dimensional alternating representation and this is in sequence A000700 . The maximal column sum in the character table is in sequence A000085.
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LINKS
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Eric M. Schmidt, Table of n, a(n) for n = 1..35
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PROG
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(GAP) A085547 := n -> Maximum(List(Irr(CharacterTable("Symmetric", n)), Sum)); # Eric M. Schmidt, Feb 18 2013
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CROSSREFS
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Cf. A000700, A000085.
Sequence in context: A175758 A151531 A079987 * A058702 A024377 A025069
Adjacent sequences: A085544 A085545 A085546 * A085548 A085549 A085550
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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 03 2003
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EXTENSIONS
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Corrected and extended by Vladeta Jovovic, Jul 05 2003
More terms from Eric M. Schmidt, Feb 18 2013
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STATUS
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approved
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