%I

%S 1,3,15,77

%N Number of connected categories with n more morphisms than objects.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Category.html">Category</a>

%F a(n) = Sum_{k=1}^{n+1} A125699(n+k,k}

%Y Cf. A125696, A125699, A125701.

%K bref,hard,more,nonn

%O 0,2

%A _Franklin T. Adams-Watters_ and _Christian G. Bower_, Jan 05 2007