A090750 Number of Moufang loops of order n which are not groups.

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

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: A106222 A368864 A368863 * A324656 A325817 A325967

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