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A208618 Number of Young tableaux with 5 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing). 1

%I

%S 1,1,126,7572,1725819,705002611,396803649991,278635710716650,

%T 231474950997766763,219738417947792525211,232553597317851557785623,

%U 269396684883944249352055973,336839101974197524267892335361,449620757900366812848744648452561

%N Number of Young tableaux with 5 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

%C Also the number of (5*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (5,5,...,5) 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.

%Y Row n=5 of A208615.

%K nonn,walk

%O 0,3

%A _Alois P. Heinz_, Feb 29 2012

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Last modified May 26 13:59 EDT 2022. Contains 354092 sequences. (Running on oeis4.)