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%I #11 Jan 08 2013 11:16:26
%S 1,1,1716,1705249,14029729645,279481714446151,9493821912766657291,
%T 475092942773985252468181,32103240681864904236146331299,
%U 2760173043757661872972723537937635,289232902027154515366683463668541370431,35764586048631587795405572631302247852797701
%N Number of Young tableaux with 7 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).
%C Also the number of (7*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (7,7,...,7) 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=7 of A208615.
%K nonn,walk
%O 0,3
%A _Alois P. Heinz_, Feb 29 2012
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