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, 1, 43, 6091, 1676707, 705002611, 398084427253, 279481714446151, 232075055225078521, 220232478504498403075, 233018419345522155335125, 269885243445946300409146375, 337402154959503679430701458829, 450322016526620687787013813440439

Offset: 0

Author

Alois P. Heinz, Feb 29 2012

Keywords

• nonn
• walk

Comments

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.

Crossrefs

Column k=5 of A208615.