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, 1, 4863, 414325055, 177296325559211, 219738417947792525211, 583693245266271046705306483, 2760173043757661872972723537937635, 20535540740510211632088991774438342144131, 220381419513554767061883905294847700173775763891

Offset: 0

Author

Alois P. Heinz, Feb 29 2012

Keywords

• nonn
• walk

Comments

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.

Crossrefs

Column k=9 of A208615.