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A208625 Number of Young tableaux with n 5-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing). 1

%I

%S 1,1,43,6091,1676707,705002611,398084427253,279481714446151,

%T 232075055225078521,220232478504498403075,233018419345522155335125,

%U 269885243445946300409146375,337402154959503679430701458829,450322016526620687787013813440439

%N Number of Young tableaux with n 5-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

%C Also the number of (5*n-1)-step walks on 5-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_5) we have p_1<=p_2<=...<=p_5 or p_1>=p_2>=...>=p_5.

%Y Column k=5 of A208615.

%K nonn,walk

%O 0,3

%A _Alois P. Heinz_, Feb 29 2012

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Last modified October 25 23:22 EDT 2021. Contains 348256 sequences. (Running on oeis4.)