A146074 a(n) = number of elements of order n in Mathieu simple group M_24 of order 244823040.

1, 43263, 712448, 5100480, 4080384, 20401920, 11658240, 15301440, 0, 12241152, 22256640, 40803840, 0, 34974720, 32643072, 0, 0, 0, 0, 0, 23316480, 0, 21288960

Offset

1,2

Links

Table of n, a(n) for n=1..23.

Formula

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

Maple

# Load sequences A028825 (s1) and A146073 (s2).
s3:=map(x->244823040/x, s2);
s4:=[seq(0, n=1..26)];
for n from 1 to 26 do s4[s1[n]]:=s4[s1[n]]+s3[n]; od:
s4;

Crossrefs

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

Sequence in context: A151660 A238595 A205053 * A321038 A256767 A258677

Adjacent sequences: A146071 A146072 A146073 * A146075 A146076 A146077

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Apr 07 2009

Status

approved