

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), 871883.


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



