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A090750 Number of Moufang loops of order n which are not groups. 6
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 71, 0, 0, 0, 4, 0, 0, 0, 5, 0, 1, 0, 1, 0, 0, 0, 51, 0, 0, 0, 1, 0, 2, 0, 4, 0, 0, 0, 5, 0, 0, 0, 4262, 0, 0, 0, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,16

COMMENTS

For an odd prime number p, there is only one Moufang loop of order 4p. Thus for n>1, a(4*A000040(n)) = 1. - Muniru A Asiru, Jan 27 2017

REFERENCES

E. Goodaire, S. May and M. Raman, "The Moufang loops of order less than 64", Nova science publishers, 1999.

LINKS

Table of n, a(n) for n=1..71.

G. P. Nagy and P. Vojtechovsky, The Moufang loops of order 64 and 81, Symbolic Comput., 42(2007), 871-883.

CROSSREFS

Sequence in context: A101194 A196344 A106222 * A229656 A216722 A036297

Adjacent sequences:  A090747 A090748 A090749 * A090751 A090752 A090753

KEYWORD

nonn

AUTHOR

Paul Boddington, Feb 03 2004

EXTENSIONS

More terms from Muniru A Asiru, Jan 20 2017

a(66)-a(71) from Muniru A Asiru, Jan 27 2017

STATUS

approved

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Last modified May 23 07:10 EDT 2017. Contains 286909 sequences.