A208618 Number of Young tableaux with 5 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 126, 7572, 1725819, 705002611, 396803649991, 278635710716650, 231474950997766763, 219738417947792525211, 232553597317851557785623, 269396684883944249352055973, 336839101974197524267892335361, 449620757900366812848744648452561

Offset

0,3

Comments

Also the number of (5*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (5,5,...,5) 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..13.

Crossrefs

Row n=5 of A208615.

Sequence in context: A037963 A240929 A285172 * A352334 A267835 A202652

Adjacent sequences: A208615 A208616 A208617 * A208619 A208620 A208621

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved