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A061220 Least entry in character table of the symmetric group S_n. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
The maximal value in the character table is the maximal degree of an irreducible representation of S_n and this is in sequence A003040.
LINKS
EXAMPLE
a(3) = -1 because the character table of S_3 is / 1 1 1 / 1 1 -1 / 2 -1 0 /.
MAPLE
seq(min(map(op, [entries(combinat:-character(n))])), n=1..23); # Robert Israel, Mar 31 2016
MATHEMATICA
a[n_] := With[{S = "S" <> ToString[n]}, FiniteGroupData[S, "CharacterTable"] // Flatten // Min]; Array[a, 10] (* Jean-François Alcover, Mar 31 2016 *)
PROG
(GAP) A061220 := n -> Minimum(List(Irr(CharacterTable("Symmetric", n)), Minimum)); # Eric M. Schmidt, Feb 18 2013
CROSSREFS
Sequence in context: A003040 A126317 A079437 * A184322 A159340 A369560
KEYWORD
sign,nice
AUTHOR
Ola Veshta (olaveshta(AT)my-deja.com), May 30 2001
EXTENSIONS
Corrected and extended by Vladeta Jovovic, May 20 2003
More terms from Eric M. Schmidt, Feb 18 2013
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)