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A208619 Number of Young tableaux with 6 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing). 1
1, 1, 462, 109027, 144558247, 398084427253, 1672481205752413, 9490918987253894191, 67868136936393109678363, 583693245266271046705306483, 5838544884938502473966453328313, 66244125517281822956796820132971163, 836288765056123179126895804194418164733 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Also the number of (6*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (6,6,...,6) 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..12.

CROSSREFS

Row n=6 of A208615.

Sequence in context: A027565 A035847 A140905 * A318266 A295432 A213406

Adjacent sequences:  A208616 A208617 A208618 * A208620 A208621 A208622

KEYWORD

nonn,walk

AUTHOR

Alois P. Heinz, Feb 29 2012

STATUS

approved

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Last modified December 3 08:07 EST 2021. Contains 349445 sequences. (Running on oeis4.)