A208619 Number of Young tableaux with 6 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 462, 109027, 144558247, 398084427253, 1672481205752413, 9490918987253894191, 67868136936393109678363, 583693245266271046705306483, 5838544884938502473966453328313, 66244125517281822956796820132971163, 836288765056123179126895804194418164733

Offset: 0

Author

Alois P. Heinz, Feb 29 2012

Keywords

• nonn
• walk

Comments

Also the number of (6*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (6,6,...,6) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_n) we have p_1<=p_2<=...<=p_n or p_1>=p_2>=...>=p_n.

Crossrefs

Row n=6 of A208615.