A208628 Number of Young tableaux with n 8-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 1431, 23374495, 1489926719139, 231474950997766763, 67868136936393109678363, 32103240681864904236146331299, 22081439406257212482754663652213531, 20535579472799243918667089350306950940643, 24486860959943276912563736137263132718929372619

Offset: 0

Author

Alois P. Heinz, Feb 29 2012

Keywords

• nonn
• walk

Comments

Also the number of (8*n-1)-step walks on 8-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_8) we have p_1<=p_2<=...<=p_8 or p_1>=p_2>=...>=p_8.

Crossrefs

Column k=8 of A208615.