OFFSET

0,3

LINKS

Geoff Cruttwell, Counting Finite Categories, presentation, (2018).

Eric Weisstein's World of Mathematics, Category

EXAMPLE

The 11 categories with 3 morphisms consist of:

* 7=A058129(3) categories with 1 object (monoids),

* 3 categories with 2 objects, consisting of: 2=A058129(2) disconnected combinations of a 2-element monoid and a 1-element monoid, and the category with 2 objects and a single morphism between the two objects,

* 1 category with 3 objects (3 separate 1-element monoids).

CROSSREFS

KEYWORD

hard,more,nonn

AUTHOR

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

EXTENSIONS

a(0) and a(7)-a(9) from Thomas Anton, from the work of G. Cruttwell and R. Leblanc, Jan 25 2019

STATUS

approved