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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

%I

%S 1,1,430,1386529,13675362559,278635710716650,9490918987253894191,

%T 475092942773985252468181,32104063492616280061833179530,

%U 2760236523281606433215665762615849,289238439981484950348089838682686986479,35765166865735043765208026468482106363863090

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

%C 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.

%Y Column k=7 of A208615.

%K nonn,walk

%O 0,3

%A _Alois P. Heinz_, Feb 29 2012

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Last modified September 22 05:11 EDT 2021. Contains 347605 sequences. (Running on oeis4.)