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

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