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%I #3 Mar 30 2012 16:49:06
%S 1,2,8,1,42,12,260,114,4,1796,1030,90,13396,9290,1349,22,105706,84840,
%T 17220,728,870772,787082,203568,14884,140,7420836,7415814,2312094,
%U 244908,6120,65004584,70867212,25691670,3575045,158354,969
%N 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.
%C Rows have lengths 1,1,2,2,3,3,4,4,...
%H J. L. Jacobsen and P. Zinn-Justin, <a href="http://arXiv.org/abs/math-ph/0104009">A Transfer Matrix approach to the Enumeration of Colored Links</a>, J. Knot Theory, 10 (2001), 1233-1267.
%e 1; 2; 8,1; 42,12; 260,114,4; 1796,1030,90; ...
%Y Columns give A054993, A062386, A067767, A067768.
%K nonn,tabf
%O 0,2
%A _N. J. A. Sloane_, Feb 09 2002
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