A208625 Number of Young tableaux with n 5-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 43, 6091, 1676707, 705002611, 398084427253, 279481714446151, 232075055225078521, 220232478504498403075, 233018419345522155335125, 269885243445946300409146375, 337402154959503679430701458829, 450322016526620687787013813440439

Offset

0,3

Comments

Also the number of (5*n-1)-step walks on 5-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_5) we have p_1<=p_2<=...<=p_5 or p_1>=p_2>=...>=p_5.

Links

Table of n, a(n) for n=0..13.

Crossrefs

Column k=5 of A208615.

Sequence in context: A081795 A108837 A091748 * A147522 A183489 A361892

Adjacent sequences: A208622 A208623 A208624 * A208626 A208627 A208628

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved