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%I M3394 #39 Mar 09 2022 10:58:12
%S 0,0,1,4,10,29,55,153,307,588,1018,2230,3543,6878,11216,20615,33355,
%T 57980,90194,155176,239327,395473,604113,970294,1453749,2323476,
%U 3425849,5349414,7905133,11963861,17521274,26472001,38054619,56756488,81683457,119005220,170498286,247619748
%N Number of zeros in character table of symmetric group S_n.
%D J. McKay, personal communication to N. J. A. Sloane, circa 1991.
%D Alexander R. Miller, "On parity and characters of symmetric groups", J. Combin. Theory Ser. A 162 (2019), 231-240.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Alexander R. Miller, <a href="https://www.mat.univie.ac.at/~miller/ARMillerEvenOddNote.pdf">On parity and characters of symmetric groups</a>, preprint.
%F a(n) + A051748(n) + A051749(n) = A001255(n). - _R. J. Mathar_, Mar 09 2022
%t a[n_] := Count[FiniteGroupData[{"SymmetricGroup", n}, "CharacterTable"], 0, 2]; Array[a, 10] (* _Jean-François Alcover_, Oct 08 2016 *)
%o (GAP) A006907 := n -> Sum(Irr(CharacterTable("Symmetric", n)), chi -> Number(chi, x->x=0)) # _Eric M. Schmidt_, Jul 13 2012, simplified Jul 26 2012
%Y Cf. A006908, A051748, A051749.
%K nonn,nice
%O 1,4
%A _Simon Plouffe_ and _N. J. A. Sloane_
%E More terms from _Vladeta Jovovic_, May 20 2003
%E More terms from _Eric M. Schmidt_, Jul 13 2012
%E a(36)-a(38) found by _Alexander R. Miller_ (see 2019 reference). - _N. J. A. Sloane_, Jul 07 2020
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