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A062038
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Triangular array T(n,k) giving number of alternating link diagrams with n >= 0 crossings, k = 0..[n/2] connected components and two external legs.
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4
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1, 2, 8, 1, 42, 12, 260, 114, 4, 1796, 1030, 90, 13396, 9290, 1349, 22, 105706, 84840, 17220, 728, 870772, 787082, 203568, 14884, 140, 7420836, 7415814, 2312094, 244908, 6120, 65004584, 70867212, 25691670, 3575045, 158354, 969
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Rows have lengths 1,1,2,2,3,3,4,4,...
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LINKS
| J. L. Jacobsen and P. Zinn-Justin, A Transfer Matrix approach to the Enumeration of Colored Links, J. Knot Theory, 10 (2001), 1233-1267.
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EXAMPLE
| 1; 2; 8,1; 42,12; 260,114,4; 1796,1030,90; ...
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CROSSREFS
| Columns give A054993, A062386, A067767, A067768.
Sequence in context: A199787 A165274 A065249 * A021082 A029672 A011309
Adjacent sequences: A062035 A062036 A062037 * A062039 A062040 A062041
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KEYWORD
| nonn,tabf
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 09 2002
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