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A208629 Number of Young tableaux with n 9-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing). 1

%I

%S 1,1,4863,414325055,177296325559211,219738417947792525211,

%T 583693245266271046705306483,2760173043757661872972723537937635,

%U 20535540740510211632088991774438342144131,220381419513554767061883905294847700173775763891

%N Number of Young tableaux with n 9-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 9-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_9) we have p_1<=p_2<=...<=p_9 or p_1>=p_2>=...>=p_9.

%Y Column k=9 of A208615.

%K nonn,walk

%O 0,3

%A _Alois P. Heinz_, Feb 29 2012

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Last modified September 23 17:37 EDT 2021. Contains 347618 sequences. (Running on oeis4.)