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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). 2
 1, 1, 3, 53, 25187, 705002611, 1672481205752413, 475092942773985252468181, 22081439406257212482754663652213531, 220381419513554767061883905294847700173775763891, 599868749018773480515945947095662848011697924400242771204050409 (list; graph; refs; listen; history; text; internal format)
 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 A045481 Adjacent sequences:  A208628 A208629 A208630 * A208632 A208633 A208634 KEYWORD nonn,walk AUTHOR Alois P. Heinz, Feb 29 2012 STATUS approved

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Last modified July 23 01:44 EDT 2019. Contains 325228 sequences. (Running on oeis4.)