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%I #6 Mar 22 2013 18:12:32
%S 4096,16777216,25600000000,22497280000000,15162474496000000,
%T 9249109442560000000,5641956759961600000000,3441593623576576000000000,
%U 2099372110381711360000000000,1280616987332843929600000000000
%N Number of nX6 0..3 arrays with antidiagonals unimodal
%C Column 6 of A223585
%H R. H. Hardin, <a href="/A223583/b223583.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,6))^(max(n,6)-min(n,6)+1) * product{ U(i)^2 , i=1..(min(n,6)-1) }
%F a(n) = 610*a(n-1) for n>5
%e Some solutions for n=3
%e ..0..0..0..0..0..2....0..0..0..0..1..0....0..0..0..0..0..3....0..0..0..0..0..2
%e ..0..0..0..2..2..1....0..0..0..2..3..2....0..0..0..1..3..3....0..0..0..2..1..0
%e ..0..0..0..0..2..1....0..0..1..1..0..2....0..0..1..1..0..0....0..0..0..0..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 22 2013
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