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A082733
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Sum of all entries in character table of the symmetric group S_n.
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28
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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
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history;
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internal format)
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OFFSET
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1,2
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LINKS
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Eric M. Schmidt, Table of n, a(n) for n = 1..35
J. B. Geloun and S. Ramgoolam, Counting Tensor Model Observables and Branched Covers of the 2-Sphere, arXiv preprint arXiv:1307.6490 [hep-th], 2013.
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EXAMPLE
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a(3) = 5 because the character table of S_3 is / 1 1 1 / 2 0 -1 / 1 -1 1 /.
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MATHEMATICA
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a[n_] := FiniteGroupData[{"SymmetricGroup", n}, "CharacterTable"] // Flatten // Total;
Table[an = a[n]; Print[n, " ", an]; an, {n, 1, 10}] (* Jean-François Alcover, Nov 03 2018 *)
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PROG
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(GAP) A082733 := n -> Sum(Sum(Irr(CharacterTable("Symmetric", n)))); # Eric M. Schmidt, Jul 03 2012
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CROSSREFS
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Sequence in context: A200772 A099515 A056367 * A095134 A086758 A179257
Adjacent sequences: A082730 A082731 A082732 * A082734 A082735 A082736
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic, May 20 2003
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EXTENSIONS
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More terms from Eric M. Schmidt, Jul 03 2012
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STATUS
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approved
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