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Number of connected categories with n more morphisms than objects.
3

%I #12 Aug 31 2023 08:15:44

%S 1,3,15,77,494,4068

%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 nonn,hard,more

%O 0,2

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

%E a(4)-a(5) from _Ben Spitz_, Aug 30 2023