A208629 Number of Young tableaux with n 9-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 4863, 414325055, 177296325559211, 219738417947792525211, 583693245266271046705306483, 2760173043757661872972723537937635, 20535540740510211632088991774438342144131, 220381419513554767061883905294847700173775763891

Offset

0,3

Comments

Also the number of (9*n-1)-step walks on 9-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_9) we have p_1<=p_2<=...<=p_9 or p_1>=p_2>=...>=p_9.

Links

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

Crossrefs

Column k=9 of A208615.

Sequence in context: A227599 A321978 A147697 * A272077 A259329 A200972

Adjacent sequences: A208626 A208627 A208628 * A208630 A208631 A208632

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved