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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, 1, 1431, 23374495, 1489926719139, 231474950997766763, 67868136936393109678363, 32103240681864904236146331299, 22081439406257212482754663652213531, 20535579472799243918667089350306950940643, 24486860959943276912563736137263132718929372619 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 17 18:15 EDT 2021. Contains 343070 sequences. (Running on oeis4.)