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

Author

Paul Boddington, Feb 03 2004

Keywords

• nonn

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

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

Extensions

More terms from Muniru A Asiru, Jan 20 2017

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