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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 (list; graph; refs; listen; history; text; internal format)
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(2n-1, 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. Adams-Watters and Christian G. Bower, Jan 05 2007

STATUS

approved

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Last modified November 17 08:39 EST 2019. Contains 329217 sequences. (Running on oeis4.)