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%I #15 Sep 03 2014 03:37:02
%S 1,1,15,491,25187,1725819,144558247,14029729645,1523926182363,
%T 180929760551225,23086562828397479,3126799551978895629,
%U 445266632168280620515,66178991463387525289801,10206120232877820185701707,1625518539321873371313790283
%N Number of Young tableaux with n 4-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).
%C Also the number of (4*n-1)-step walks on 4-dimensional cubic lattice from (1,0,0,0) to (n,n,n,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,p_3,p_4) we have p_1<=p_2<=p_3<=p_4 or p_1>=p_2>=p_3>=p_4.
%H Alois P. Heinz, <a href="/A208624/b208624.txt">Table of n, a(n) for n = 0..100</a>
%F a(n) ~ c * 256^n / n^(15/2), where c = 1.536590923866647845196812662963243246... . - _Vaclav Kotesovec_, Sep 03 2014
%Y Column k=4 of A208615.
%K nonn,walk
%O 0,3
%A _Alois P. Heinz_, Feb 29 2012