A208622 Number of Young tableaux with 9 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 24310, 499208817, 180929760551225, 220232478504498403075, 583831478578178958083979415, 2760236523281606433215665762615849, 20535579472799243918667089350306950940643, 220381419513554767061883905294847700173775763891

Offset

0,3

Comments

Also the number of (9*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (9,9,...,9) 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..9.

Crossrefs

Row n=9 of A208615.

Sequence in context: A318630 A194721 A140923 * A294856 A025041 A156843

Adjacent sequences: A208619 A208620 A208621 * A208623 A208624 A208625

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved