%I
%S 0,1,1,1,2,1,1,4,4,1,1,6,10,6,1,1,9,21,20,8,1,1,12,39,53,36,10,1,1,16,
%T 67,121,128,56,12,1,1,20,107,249,388,240,74,14,1,1,25,163,471,1050,
%U 854,331,100,16,1,1,30,238,836,2601,2654,1212,511,130,18,1,1,36,337
%N Triangle: number of directed site animals on a hexagonal lattice with n total sites and k sites supported in one particular way.
%H A. J. Guttmann, <a href="http://www.ms.unimelb.edu.au/~tonyg/articles/viennafinal.pdf">Indicators of solvability for lattice models</a>, Discrete Math., 217 (2000), 167189 (A_h of Section 6).
%H A. J. Guttmann and A. R. Conway, <a href="http://www.ms.unimelb.edu.au/~tonyg/articles/hexfinal.pdf">Hexagonal lattice directed site animals</a>, Statistical Physics on the Eve of the TwentyFirst Century, ed. M. T. Batchelor, World Scientific, 1999 (F_h of Section 4).
%e 0; 1,1; 1,2,1; 1,4,4,1; 1,6,11,6,1; ...
%Y Row sums give A055919. Columns 19: A002620(n+1), A055908A055915. Cf. A055898.
%K nonn,tabl
%O 0,5
%A _Christian G. Bower_, Jun 14 2000
