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A208630 Number of Young tableaux with n 10-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing). 1

%I

%S 1,1,16797,7646034683,22661600612752505,232553597317851557785623,

%T 5838544884938502473966453328313,

%U 289232902027154515366683463668541370431,24486820402563168156475227361324722817780058649,3201252738588789444808668395737343564339694511133453855

%N Number of Young tableaux with n 10-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 10-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_10) we have p_1<=p_2<=...<=p_10 or p_1>=p_2>=...>=p_10.

%Y Column k=10 of A208615.

%K nonn,walk

%O 0,3

%A _Alois P. Heinz_, Feb 29 2012

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Last modified July 30 15:29 EDT 2021. Contains 346359 sequences. (Running on oeis4.)