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Number of even entries in the character table of the symmetric group S_n.
2

%I #15 May 19 2024 08:13:09

%S 0,0,0,2,6,16,44,90,266,508,966,1824,3548,6094,11586,19254,37492,

%T 61876,103110,170932,286916,456554,759962,1190034,1887766,2937820,

%U 4608084,7004646,10938762,16372732,24851432,37014368,56368810,82688102,122855526,179808396,263406424

%N Number of even entries in the character table of the symmetric group S_n.

%H Hugo Pfoertner, <a href="/A335686/b335686.txt">Table of n, a(n) for n = 0..76</a>

%H Alexander R. Miller, <a href="https://www.mat.univie.ac.at/~miller/ARMillerEvenOddNote.pdf">On parity and characters of symmetric groups</a>, preprint.

%H Alexander R. Miller, <a href="https://doi.org/10.1016/j.jcta.2018.11.001">On parity and characters of symmetric groups</a>, J. Combin. Theory Ser. A 162 (2019), 231-240. Gives terms for n <= 76.

%Y Cf. A006907, A274691.

%K nonn

%O 0,4

%A _N. J. A. Sloane_, Jul 07 2020