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A060643 Number of conjugacy classes in the symmetric group S_n that have even number of elements. 0

%I #8 Dec 05 2022 20:46:39

%S 0,0,1,3,5,7,11,20,28,38,52,73,97,127,168,229,295,381,486,623,788,994,

%T 1247,1571,1954,2428,3002,3710,4557,5588,6826,8347,10141,12306,14879,

%U 17973,21633,26007,31177,37334,44579,53166,63253,75167,89126,105542,124738

%N Number of conjugacy classes in the symmetric group S_n that have even number of elements.

%C The total number of conjugacy classes of S_n is the partition function p(n) (sequence A000041) and the number of conjugacy classes that have odd number of elements is given in A060632 so a(n) = A000041(n) - A060632(n) for n >= 1.

%F a(n) = A000041(n) - A060632(n).

%Y Cf. A000041, A060632.

%K nonn

%O 1,4

%A Avi Peretz (njk(AT)netvision.net.il), Apr 17 2001

%E More terms from _Sean A. Irvine_, Dec 05 2022

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Last modified April 25 12:53 EDT 2024. Contains 371969 sequences. (Running on oeis4.)