A208629 - OEIS

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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

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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