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Search: id:A125696
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| A125696 |
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Number of categories with n morphisms. |
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+0
6
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OFFSET
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1,2
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LINKS
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Eric Weisstein's World of Mathematics, Category
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FORMULA
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Euler transform of A125698. G.f. Product_{i=1}^{infinity} 1/(1-x^i)^A125698(i).
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EXAMPLE
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The 11 categories with 3 morphisms consist of 7 3-element disconnected combinations of a 2-element monoid and a 1 element monoid, 1 with 3 separate 1-element monoids, and one 2-object category with a single morphism between the objects.
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CROSSREFS
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Cf. A058129, A125697, A125698, A125720.
Sequence in context: A094259 A091845 A020061 this_sequence A001776 A136104 A007841
Adjacent sequences: A125693 A125694 A125695 this_sequence A125697 A125698 A125699
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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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