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Search: id:A125698
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| A125698 |
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Number of connected categories with n morphisms. |
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+0
3
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OFFSET
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1,2
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COMMENT
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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.
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LINKS
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Eric Weisstein's World of Mathematics, Category
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EXAMPLE
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The 8 categories with 3 morphisms consist of 7 3-element monoids and one 2-object category with a single morphism between the objects.
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CROSSREFS
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Cf. A125696, A125699, A125700.
Sequence in context: A099240 A134055 A136281 this_sequence A052447 A153537 A153565
Adjacent sequences: A125695 A125696 A125697 this_sequence A125699 A125700 A125701
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KEYWORD
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hard,more,nonn
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AUTHOR
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Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net) and Christian Bower (bowerc(AT)usa.net), Jan 05 2007
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