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Number of Moufang loops of order n which are not groups.
6

%I #13 Jan 27 2017 19:11:22

%S 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,

%T 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,

%U 0,1,0,0,0

%N Number of Moufang loops of order n which are not groups.

%C 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

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

%H G. P. Nagy and P. Vojtechovsky, <a href="http://dx.doi.org/10.1016/j.jsc.2007.06.004">The Moufang loops of order 64 and 81</a>, Symbolic Comput., 42(2007), 871-883.

%K nonn

%O 1,16

%A _Paul Boddington_, Feb 03 2004

%E More terms from _Muniru A Asiru_, Jan 20 2017

%E a(66)-a(71) from _Muniru A Asiru_, Jan 27 2017