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Search: id:A125697
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| A125697 |
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Table, T(n,k) is the number of categories with n morphisms and k objects. |
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+0
3
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| 1, 2, 1, 7, 3, 1, 35, 16, 3, 1, 228, 77, 20, 3, 1, 2237, 485, 111, 21, 3, 1, 31559
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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This is a two-dimensional Euler transform of A125699.
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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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G.f. Product_{i=1}^{infinity} Product_{j=1}^{ceiling(i/2)} 1 / (1 - x^i y^j)^A125699(i,j).
T(n,k) = A125701(n-k) when k >= 2/3 n.
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EXAMPLE
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The table starts:
1
2,1
7,3,1
35,16,3,1
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CROSSREFS
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Cf. A125696 (row sums), A058129 (column 1), A125699, A125701, A125726.
Sequence in context: A160413 A136535 A091370 this_sequence A090699 A120903 A021050
Adjacent sequences: A125694 A125695 A125696 this_sequence A125698 A125699 A125700
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KEYWORD
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tabl,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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