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a(n) = number of elements of order n in Mathieu simple group M_24 of order 244823040.
7

%I #5 Apr 05 2017 00:31:18

%S 1,43263,712448,5100480,4080384,20401920,11658240,15301440,0,12241152,

%T 22256640,40803840,0,34974720,32643072,0,0,0,0,0,23316480,0,21288960

%N a(n) = number of elements of order n in Mathieu simple group M_24 of order 244823040.

%F For n from 1 to 26, conjugacy class n contains 244823040/A146073(n) elements each of order A028825(n).

%p # Load sequences A028825 (s1) and A146073 (s2).

%p s3:=map(x->244823040/x,s2);

%p s4:=[seq(0,n=1..26)];

%p for n from 1 to 26 do s4[s1[n]]:=s4[s1[n]]+s3[n]; od:

%p s4;

%Y Cf. A028825, A146074, A145665 (M_11), A284842 (M_12), A284846 (M_22), A284872 (M_23).

%K nonn,fini,full

%O 1,2

%A _N. J. A. Sloane_, Apr 07 2009