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A082733 Sum of all entries in character table of the symmetric group S_n. 28
1, 2, 5, 13, 31, 89, 259, 842, 2810, 10020, 37266, 145373, 586071, 2453927, 10590180, 47159351, 215706629, 1013916313, 4882544468, 24087770591, 121481296510, 626169893024, 3293432146879, 17670096206819, 96589760733604, 537731396393480, 3045955783377644 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Eric M. Schmidt, Table of n, a(n) for n = 1..35

J. B. Geloun, S. Ramgoolam, Counting Tensor Model Observables and Branched Covers of the 2-Sphere, arXiv preprint arXiv:1307.6490, 2013

EXAMPLE

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

MATHEMATICA

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

Table[an = a[n]; Print[n, " ", an]; an, {n, 1, 10}] (* Jean-Fran├žois Alcover, Nov 03 2018 *)

PROG

(GAP) A082733 := n -> Sum(Sum(Irr(CharacterTable("Symmetric", n)))); # Eric M. Schmidt, Jul 03 2012

CROSSREFS

Sequence in context: A200772 A099515 A056367 * A095134 A086758 A179257

Adjacent sequences:  A082730 A082731 A082732 * A082734 A082735 A082736

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, May 20 2003

EXTENSIONS

More terms from Eric M. Schmidt, Jul 03 2012

STATUS

approved

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Last modified August 25 04:05 EDT 2019. Contains 326318 sequences. (Running on oeis4.)