%I #11 Jan 08 2013 11:16:24
%S 1,1,462,109027,144558247,398084427253,1672481205752413,
%T 9490918987253894191,67868136936393109678363,
%U 583693245266271046705306483,5838544884938502473966453328313,66244125517281822956796820132971163,836288765056123179126895804194418164733
%N Number of Young tableaux with 6 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).
%C Also the number of (6*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (6,6,...,6) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_n) we have p_1<=p_2<=...<=p_n or p_1>=p_2>=...>=p_n.
%Y Row n=6 of A208615.
%K nonn,walk
%O 0,3
%A _Alois P. Heinz_, Feb 29 2012
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