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

0,3

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.

Links

Table of n, a(n) for n=0..12.

Crossrefs

Row n=6 of A208615.

Sequence in context: A027565 A035847 A140905 * A318266 A295432 A213406

Adjacent sequences: A208616 A208617 A208618 * A208620 A208621 A208622

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved