A208626 - OEIS

A208626

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

%I #11 Jan 08 2013 11:17:04

%S 1,1,133,87781,140422657,396803649991,1672481205752413,

%T 9493821912766657291,67887185669916054862201,

%U 583831478578178958083979415,5839732221336989894541552143065,66255973840780250383847420304675775,836422943559727759153797800333684916889

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

%C 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.

%Y Column k=6 of A208615.

%K nonn,walk

%O 0,3

%A _Alois P. Heinz_, Feb 29 2012