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%I #10 Jan 08 2013 11:16:44
%S 1,1,92378,9134237407,23086562828397479,233018419345522155335125,
%T 5839732221336989894541552143065,
%U 289238439981484950348089838682686986479,24486860959943276912563736137263132718929372619,3201253130570381677843084208123022632287481960289725603
%N Number of Young tableaux with 10 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).
%C Also the number of (10*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (10,10,...,10) 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=10 of A208615.
%K nonn,walk
%O 0,3
%A _Alois P. Heinz_, Feb 29 2012
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