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.

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

Offset: 0

Author

N. J. A. Sloane, Feb 09 2002

Keywords

• nonn
• tabf

Comments

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

Examples

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

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.

Crossrefs

Columns give A054993, A062386, A067767, A067768.