%I #9 Dec 17 2012 14:45:07
%S 1,2,30,22456,3179460875,118459556737869096,
%T 1841479754519556293280702095,
%U 17699004125822025124951660289473617122688,146207646053305863964379580591072585873215024249550168360
%N Number of n-element groupoids with an identity, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).
%C Also partial groupoids with n-1 elements or groupoids with an absorbant (zero) element with n elements in each case the same equivalence.
%H Eric Postpischil <a href="http://groups.google.com/groups?&hl=en&lr=&ie=UTF-8&selm=11802%40shlump.nac.dec.com&rnum=2">Posting to sci.math newsgroup, May 21 1990</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Groupoid.html">Groupoid.</a>
%H <a href="/index/Gre#groupoids">Index entries for sequences related to groupoids</a>
%F a(n) = (A090601(n) + A090604(n))/2
%K nonn
%O 1,2
%A _Christian G. Bower_, Dec 05 2003