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A006907
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Number of zeros in character table of symmetric group S_n.
(Formerly M3394)
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8
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0, 0, 1, 4, 10, 29, 55, 153, 307, 588, 1018, 2230, 3543, 6878, 11216, 20615, 33355, 57980, 90194, 155176, 239327, 395473, 604113, 970294, 1453749, 2323476, 3425849, 5349414, 7905133, 11963861, 17521274, 26472001, 38054619, 56756488, 81683457, 119005220, 170498286, 247619748
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OFFSET
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1,4
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REFERENCES
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J. McKay, personal communication to N. J. A. Sloane, circa 1991.
Alexander R. Miller, "On parity and characters of symmetric groups", J. Combin. Theory Ser. A 162 (2019), 231-240.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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FORMULA
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MATHEMATICA
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a[n_] := Count[FiniteGroupData[{"SymmetricGroup", n}, "CharacterTable"], 0, 2]; Array[a, 10] (* Jean-François Alcover, Oct 08 2016 *)
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PROG
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(GAP) A006907 := n -> Sum(Irr(CharacterTable("Symmetric", n)), chi -> Number(chi, x->x=0)) # Eric M. Schmidt, Jul 13 2012, simplified Jul 26 2012
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CROSSREFS
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KEYWORD
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nonn,nice
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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