A208626 - OEIS

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A208626

Number of Young tableaux with n 6-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 133, 87781, 140422657, 396803649991, 1672481205752413, 9493821912766657291, 67887185669916054862201, 583831478578178958083979415, 5839732221336989894541552143065, 66255973840780250383847420304675775, 836422943559727759153797800333684916889

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OFFSET

0,3

COMMENTS

Also the number of (6*n-1)-step walks on 6-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_6) we have p_1<=p_2<=...<=p_6 or p_1>=p_2>=...>=p_6.

LINKS

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

CROSSREFS

Column k=6 of A208615.

Sequence in context: A015264 A055579 A191715 * A061491 A274132 A252133

Adjacent sequences: A208623 A208624 A208625 * A208627 A208628 A208629

KEYWORD

nonn,walk

AUTHOR

Alois P. Heinz, Feb 29 2012

STATUS

approved