A208627 Number of Young tableaux with n 7-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 430, 1386529, 13675362559, 278635710716650, 9490918987253894191, 475092942773985252468181, 32104063492616280061833179530, 2760236523281606433215665762615849, 289238439981484950348089838682686986479, 35765166865735043765208026468482106363863090

Offset

0,3

Comments

Also the number of (7*n-1)-step walks on 7-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_7) we have p_1<=p_2<=...<=p_7 or p_1>=p_2>=...>=p_7.

Links

Table of n, a(n) for n=0..11.

Crossrefs

Column k=7 of A208615.

Sequence in context: A165062 A203545 A230574 * A176387 A160518 A273807

Adjacent sequences: A208624 A208625 A208626 * A208628 A208629 A208630

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved