A208631 - OEIS

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A208631

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

1, 1, 3, 53, 25187, 705002611, 1672481205752413, 475092942773985252468181, 22081439406257212482754663652213531, 220381419513554767061883905294847700173775763891, 599868749018773480515945947095662848011697924400242771204050409

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OFFSET

0,3

COMMENTS

Also the number of (n^2-1)-step walks on n-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_n) we have p_1<=p_2<=...<=p_n or p_1>=p_2>=...>=p_n.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..12

CROSSREFS

Main diagonal of A208615.

Sequence in context: A325725 A173357 A144537 * A093164 A092448 A344424

Adjacent sequences: A208628 A208629 A208630 * A208632 A208633 A208634

KEYWORD

nonn,walk

AUTHOR

Alois P. Heinz, Feb 29 2012

STATUS

approved