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Revision History for A146074

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A146074

a(n) = number of elements of order n in Mathieu simple group M_24 of order 244823040.
(history; published version)

#5 by N. J. A. Sloane at Wed Apr 05 00:31:18 EDT 2017

STATUS

proposed

approved

#4 by Sean A. Irvine at Tue Apr 04 17:17:25 EDT 2017

STATUS

editing

proposed

#3 by Sean A. Irvine at Tue Apr 04 17:17:18 EDT 2017

CROSSREFS

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

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 16:51:01 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Apr 07 2009

Discussion

Fri Mar 30

16:51

OEIS Server: https://oeis.org/edit/global/110

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

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

DATA

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

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.

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2009

STATUS

approved