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 A082733 Sum of all entries in character table of the symmetric group S_n. 28

%I

%S 1,2,5,13,31,89,259,842,2810,10020,37266,145373,586071,2453927,

%T 10590180,47159351,215706629,1013916313,4882544468,24087770591,

%U 121481296510,626169893024,3293432146879,17670096206819,96589760733604,537731396393480,3045955783377644

%N Sum of all entries in character table of the symmetric group S_n.

%H Eric M. Schmidt, <a href="/A082733/b082733.txt">Table of n, a(n) for n = 1..35</a>

%H J. B. Geloun and S. Ramgoolam, <a href="http://arxiv.org/abs/1307.6490">Counting Tensor Model Observables and Branched Covers of the 2-Sphere</a>, arXiv preprint arXiv:1307.6490 [hep-th], 2013.

%e a(3) = 5 because the character table of S_3 is / 1 1 1 / 2 0 -1 / 1 -1 1 /.

%t a[n_] := FiniteGroupData[{"SymmetricGroup", n}, "CharacterTable"] // Flatten // Total;

%t Table[an = a[n]; Print[n, " ", an]; an, {n, 1, 10}] (* _Jean-François Alcover_, Nov 03 2018 *)

%o (GAP) A082733 := n -> Sum(Sum(Irr(CharacterTable("Symmetric", n)))); # _Eric M. Schmidt_, Jul 03 2012

%K nonn

%O 1,2

%A _Vladeta Jovovic_, May 20 2003

%E More terms from _Eric M. Schmidt_, Jul 03 2012

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Last modified August 8 19:29 EDT 2020. Contains 336298 sequences. (Running on oeis4.)