

A125699


Table, T(n,k) is the number of connected categories with n morphisms and k objects.


4



1, 2, 7, 1, 35, 6, 228, 28, 2, 2237, 159, 11, 31559
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OFFSET

1,2


COMMENTS

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


LINKS

Table of n, a(n) for n=1..13.
Eric Weisstein's World of Mathematics, Category


EXAMPLE

The table starts:
1
2
7,1
35,6
228,28,2


CROSSREFS

Cf. A125696, A125698 (row sums), A110654 (row lengths), A058129 (column 1), A125700 (diagonal sums), A125702 (T(2n1, n)).
Sequence in context: A175728 A261390 A248676 * A242207 A060465 A219177
Adjacent sequences: A125696 A125697 A125698 * A125700 A125701 A125702


KEYWORD

tabf,hard,more,nonn


AUTHOR

Franklin T. AdamsWatters and Christian G. Bower, Jan 05 2007


STATUS

approved



