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%I #10 Jan 08 2013 11:17:08
%S 1,1,1431,23374495,1489926719139,231474950997766763,
%T 67868136936393109678363,32103240681864904236146331299,
%U 22081439406257212482754663652213531,20535579472799243918667089350306950940643,24486860959943276912563736137263132718929372619
%N Number of Young tableaux with n 8-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 8-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_8) we have p_1<=p_2<=...<=p_8 or p_1>=p_2>=...>=p_8.
%Y Column k=8 of A208615.
%K nonn,walk
%O 0,3
%A _Alois P. Heinz_, Feb 29 2012
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