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A062038 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. 4
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; text; internal format)
OFFSET

0,2

COMMENTS

Rows have lengths 1,1,2,2,3,3,4,4,...

LINKS

Table of n, a(n) for n=0..35.

J. L. Jacobsen and P. Zinn-Justin, A Transfer Matrix approach to the Enumeration of Colored Links, J. Knot Theory, 10 (2001), 1233-1267.

EXAMPLE

1; 2; 8,1; 42,12; 260,114,4; 1796,1030,90; ...

CROSSREFS

Columns give A054993, A062386, A067767, A067768.

Sequence in context: A165274 A221074 A065249 * A318106 A308036 A305677

Adjacent sequences:  A062035 A062036 A062037 * A062039 A062040 A062041

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Feb 09 2002

STATUS

approved

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Last modified April 5 22:59 EDT 2020. Contains 333260 sequences. (Running on oeis4.)