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%I #12 Jan 08 2013 11:16:27
%S 1,1,6435,28440320,1523926182363,232075055225078521,
%T 67887185669916054862201,32104063492616280061833179530,
%U 22081439406257212482754663652213531,20535540740510211632088991774438342144131,24486820402563168156475227361324722817780058649
%N Number of Young tableaux with 8 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).
%C Also the number of (8*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (8,8,...,8) 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=8 of A208615.
%K nonn,walk
%O 0,3
%A _Alois P. Heinz_, Feb 29 2012
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