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%I #6 Mar 22 2013 18:12:00
%S 16384,268435456,1280000000000,2924646400000000,4488092450816000000,
%T 5641956759961600000000,6561595711835340800000000,
%U 7631135812864501350400000000,8875010950361415070515200000000
%N Number of nX7 0..3 arrays with antidiagonals unimodal
%C Column 7 of A223585
%H R. H. Hardin, <a href="/A223584/b223584.txt">Table of n, a(n) for n = 1..210</a>
%F Let U(z) = (z^6+15*z^5+115*z^4+405*z^3+964*z^2+660*z+720)/720
%F a(n) = U(min(n,7))^(max(n,7)-min(n,7)+1) * product{ U(i)^2 , i=1..(min(n,7)-1) }
%F a(n) = 1163*a(n-1) for n>6
%e Some solutions for n=3
%e ..0..0..0..0..0..3..1....0..0..0..0..0..0..0....0..0..0..0..0..1..0
%e ..0..0..0..0..2..2..3....0..0..0..0..0..3..3....0..0..0..0..2..0..1
%e ..0..0..0..0..3..1..2....0..0..0..0..0..2..2....0..0..0..1..3..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 22 2013
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