A208627 Number of Young tableaux with n 7-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 430, 1386529, 13675362559, 278635710716650, 9490918987253894191, 475092942773985252468181, 32104063492616280061833179530, 2760236523281606433215665762615849, 289238439981484950348089838682686986479, 35765166865735043765208026468482106363863090

Offset: 0

Author

Alois P. Heinz, Feb 29 2012

Keywords

• nonn
• walk

Comments

Also the number of (7*n-1)-step walks on 7-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_7) we have p_1<=p_2<=...<=p_7 or p_1>=p_2>=...>=p_7.

Crossrefs

Column k=7 of A208615.