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%I #7 Mar 22 2013 18:11:37
%S 4,16,16,64,256,64,256,4096,4096,256,1024,65536,204800,65536,1024,
%T 4096,1048576,10240000,10240000,1048576,4096,16384,16777216,512000000,
%U 1331200000,512000000,16777216,16384,65536,268435456,25600000000
%N T(n,k)=Number of nXk 0..3 arrays with antidiagonals unimodal
%C Table starts
%C .....4.........16.............64................256...................1024
%C ....16........256...........4096..............65536................1048576
%C ....64.......4096.........204800...........10240000..............512000000
%C ...256......65536.......10240000.........1331200000...........173056000000
%C ..1024....1048576......512000000.......173056000000.........51224576000000
%C ..4096...16777216....25600000000.....22497280000000......15162474496000000
%C .16384..268435456..1280000000000...2924646400000000....4488092450816000000
%C .65536.4294967296.64000000000000.380204032000000000.1328475365441536000000
%H R. H. Hardin, <a href="/A223585/b223585.txt">Table of n, a(n) for n = 1..1000</a>
%F Let U(z) = (z^6+15*z^5+115*z^4+405*z^3+964*z^2+660*z+720)/720
%F T(n,k) = U(min(n,k))^(max(n,k)-min(n,k)+1) * product{ U(i)^2 , i=1..(min(n,k)-1) }
%e Some solutions for n=3 k=4
%e ..0..0..1..1....0..0..3..3....0..0..0..3....0..0..0..0....0..0..3..2
%e ..0..2..2..2....0..3..2..2....0..2..3..2....0..3..1..1....0..1..0..2
%e ..0..2..3..3....1..1..0..2....0..2..0..0....1..1..1..3....0..0..0..0
%Y Column 1 is A000302
%Y Column 2 is A001025
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 22 2013
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