A208617 Number of Young tableaux with 4 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 35, 587, 25187, 1676707, 140422657, 13675362559, 1489926719139, 177296325559211, 22661600612752505, 3073259866183533755, 438091469007903238421, 65166105272787401522141, 10056663348255976399237441, 1602608180008201242503733271

Offset

0,3

Comments

Also the number of (4*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (4,4,...,4) 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

Table of n, a(n) for n=0..15.

Crossrefs

Row n=4 of A208615.

Sequence in context: A219468 A267281 A114342 * A010951 A033281 A161648

Adjacent sequences: A208614 A208615 A208616 * A208618 A208619 A208620

Keyword

nonn,walk

Author

Alois P. Heinz, Feb 29 2012

Status

approved