A125698 Number of connected categories with n morphisms.

1, 2, 8, 41, 258, 2407

Offset: 1

Author

Franklin T. Adams-Watters and Christian G. Bower, Jan 05 2007

Keywords

• hard
• more
• nonn

Comments

Connected in the sense that if the morphism direction and composition is ignored, resulting in a multigraph, that multigraph is connected.

Inverse Euler transform of A125696.

Examples

			The 8 categories with 3 morphisms consist of 7 3-element monoids and one 2-object category with a single morphism between the objects.
		

Links

• Eric Weisstein's World of Mathematics, Category

Crossrefs

Cf. A125696, A125699, A125700.