%I #10 Jan 08 2013 11:16:29
%S 1,1,24310,499208817,180929760551225,220232478504498403075,
%T 583831478578178958083979415,2760236523281606433215665762615849,
%U 20535579472799243918667089350306950940643,220381419513554767061883905294847700173775763891
%N Number of Young tableaux with 9 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).
%C Also the number of (9*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (9,9,...,9) 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=9 of A208615.
%K nonn,walk
%O 0,3
%A _Alois P. Heinz_, Feb 29 2012
|