A208630 Number of Young tableaux with n 10-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 16797, 7646034683, 22661600612752505, 232553597317851557785623, 5838544884938502473966453328313, 289232902027154515366683463668541370431, 24486820402563168156475227361324722817780058649, 3201252738588789444808668395737343564339694511133453855

Offset

0,3

Comments

Also the number of (10*n-1)-step walks on 10-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_10) we have p_1<=p_2<=...<=p_10 or p_1>=p_2>=...>=p_10.

Links

Table of n, a(n) for n=0..9.

Crossrefs

Column k=10 of A208615.

Sequence in context: A215550 A227600 A147698 * A067493 A016925 A265472

Adjacent sequences: A208627 A208628 A208629 * A208631 A208632 A208633

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved