cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A125698 Number of connected categories with n morphisms.

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%I A125698 #5 Feb 16 2025 08:33:04
%S A125698 1,2,8,41,258,2407
%N A125698 Number of connected categories with n morphisms.
%C A125698 Connected in the sense that if the morphism direction and composition is ignored, resulting in a multigraph, that multigraph is connected.
%C A125698 Inverse Euler transform of A125696.
%H A125698 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Category.html">Category</a>
%e A125698 The 8 categories with 3 morphisms consist of 7 3-element monoids and one 2-object category with a single morphism between the objects.
%Y A125698 Cf. A125696, A125699, A125700.
%K A125698 hard,more,nonn
%O A125698 1,2
%A A125698 _Franklin T. Adams-Watters_ and _Christian G. Bower_, Jan 05 2007