A208628 Number of Young tableaux with n 8-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 1431, 23374495, 1489926719139, 231474950997766763, 67868136936393109678363, 32103240681864904236146331299, 22081439406257212482754663652213531, 20535579472799243918667089350306950940643, 24486860959943276912563736137263132718929372619

Offset

0,3

Comments

Also the number of (8*n-1)-step walks on 8-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_8) we have p_1<=p_2<=...<=p_8 or p_1>=p_2>=...>=p_8.

Links

Table of n, a(n) for n=0..10.

Crossrefs

Column k=8 of A208615.

Sequence in context: A321977 A147695 A151996 * A205070 A169822 A114083

Adjacent sequences: A208625 A208626 A208627 * A208629 A208630 A208631

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved