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%I #13 Sep 02 2023 15:12:26
%S 1,2,7,1,35,6,228,28,2,2237,159,11,31559,1075,77,3,1668997,9389,497,24
%N Table, T(n,k) is the number of connected categories with n morphisms and k objects.
%C Connected in the sense that if the morphism direction and composition is ignored, resulting in a multigraph, that multigraph is connected.
%H Ben Spitz, <a href="https://github.com/diracdeltafunk/SmallCategories#statistics">SmallCategories</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Category.html">Category</a>
%e The table starts:
%e 1;
%e 2;
%e 7, 1;
%e 35, 6;
%e 228, 28, 2;
%e 2237, 159, 11;
%e 31559, 1075, 77, 3;
%e 1668997, 9389, 497, 24;
%e ...
%Y Cf. A125696, A125698 (row sums), A110654 (row lengths), A058129 (column 1), A125700 (diagonal sums), A125702 (T(2n-1, n)).
%K tabf,hard,more,nonn
%O 1,2
%A _Franklin T. Adams-Watters_ and _Christian G. Bower_, Jan 05 2007
%E a(14)-a(20) from _Ben Spitz_, Sep 02 2023
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