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A061220
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Least entry in character table of the symmetric group S_n.
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1
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1, -1, -1, -1, -2, -3, -6, -16, -36, -91, -224, -768, -2420, -7854, -22815, -73008, -292864, -1223040, -5002998, -17592960, -67184000, -279734796, -1183614120, -5844883968, -29448258840, -124619677182, -573333075000, -2764864302200, -13664438287500
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OFFSET
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1,5
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COMMENTS
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The maximal value in the character table is the maximal degree of an irreducible representation of S_n and this is in sequence A003040.
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LINKS
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EXAMPLE
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a(3) = -1 because the character table of S_3 is / 1 1 1 / 1 1 -1 / 2 -1 0 /.
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MAPLE
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seq(min(map(op, [entries(combinat:-character(n))])), n=1..23); # Robert Israel, Mar 31 2016
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MATHEMATICA
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a[n_] := With[{S = "S" <> ToString[n]}, FiniteGroupData[S, "CharacterTable"] // Flatten // Min]; Array[a, 10] (* Jean-François Alcover, Mar 31 2016 *)
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PROG
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(GAP) A061220 := n -> Minimum(List(Irr(CharacterTable("Symmetric", n)), Minimum)); # Eric M. Schmidt, Feb 18 2013
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CROSSREFS
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KEYWORD
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sign,nice
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AUTHOR
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Ola Veshta (olaveshta(AT)my-deja.com), May 30 2001
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EXTENSIONS
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STATUS
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approved
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