A208621 Number of Young tableaux with 8 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 6435, 28440320, 1523926182363, 232075055225078521, 67887185669916054862201, 32104063492616280061833179530, 22081439406257212482754663652213531, 20535540740510211632088991774438342144131, 24486820402563168156475227361324722817780058649

Offset

0,3

Comments

Also the number of (8*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (8,8,...,8) 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..10.

Crossrefs

Row n=8 of A208615.

Sequence in context: A222344 A194720 A140916 * A294855 A025040 A236092

Adjacent sequences: A208618 A208619 A208620 * A208622 A208623 A208624

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved