A208620 Number of Young tableaux with 7 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 1716, 1705249, 14029729645, 279481714446151, 9493821912766657291, 475092942773985252468181, 32103240681864904236146331299, 2760173043757661872972723537937635, 289232902027154515366683463668541370431, 35764586048631587795405572631302247852797701

Offset

0,3

Comments

Also the number of (7*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (7,7,...,7) 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..11.

Crossrefs

Row n=7 of A208615.

Sequence in context: A318628 A194719 A140910 * A365027 A294854 A025039

Adjacent sequences: A208617 A208618 A208619 * A208621 A208622 A208623

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved