%I A140186
%S A140186 2,1,2,2,1,2,3,5,2,2,2,5,2,2,3,15,1,5,2,5,3,2,3,15,3,2,6,4,2,4,7,51,1,
               4,
%T A140186 3,14,1,2,4,14,1,6,4,4,3,3,6,52,2,5,2,7,1,15,4,13,3,2,2,13,4,2,18,267,
               1,
%U A140186 4,3,5,1,9,7,50,2,2,4,4,2,6,8,52,15,2,3,15,1,2,3,14,1,10,3,5,4
%N A140186 Number of connected groupoids (categories all of whose morphisms are 
               invertible) with n more morphisms than objects.
%C A140186 a(n) >= A000001(n+1) (number of groups of order n+1).
%F A140186 a(0) = 2 and if n>0, a(n) = sum(A000001((n+k)/(k^2)),k^2|n+k). (see formula 
               for A140185)
%Y A140186 Cf. A140185, A140187, A140188.
%Y A140186 Sequence in context: A070080 A131400 A132749 this_sequence A078498 A131240 
               A107027
%Y A140186 Adjacent sequences: A140183 A140184 A140185 this_sequence A140187 A140188 
               A140189
%K A140186 nonn
%O A140186 0,1
%A A140186 Benoit Jubin (benoit_jubin(AT)yahoo.fr), May 12 2008