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%I #5 Feb 04 2014 05:22:48
%S 256,1472,8128,48672,289648,1763648,10742400,65979616,405858928,
%T 2506483648,15505832064,96161190176,597347413104,3717660452416,
%U 23173286559360,144674835765600,904520172987504,5663029113486528
%N Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median of every 2X2 subblock equal
%C Column 1 of A237150
%H R. H. Hardin, <a href="/A237143/b237143.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n-1) +15*a(n-2) -1145*a(n-3) +2387*a(n-4) +37971*a(n-5) -125157*a(n-6) -717925*a(n-7) +2961789*a(n-8) +8497725*a(n-9) -42143099*a(n-10) -64302155*a(n-11) +395479985*a(n-12) +292816593*a(n-13) -2542859159*a(n-14) -536734167*a(n-15) +11318363232*a(n-16) -2143673968*a(n-17) -34416928152*a(n-18) +18241618944*a(n-19) +68291364640*a(n-20) -59473522432*a(n-21) -78323431552*a(n-22) +105248727808*a(n-23) +31220975104*a(n-24) -96325931008*a(n-25) +27167551488*a(n-26) +30305468416*a(n-27) -24934612992*a(n-28) +7018905600*a(n-29) -707788800*a(n-30)
%e Some solutions for n=4
%e ..1..0....2..0....1..3....0..2....2..3....3..1....2..3....2..3....0..3....0..2
%e ..1..2....2..3....1..2....2..2....2..3....2..3....1..3....2..3....0..2....2..3
%e ..1..2....2..0....3..1....2..1....1..2....2..1....3..2....3..1....2..1....2..3
%e ..0..1....2..3....1..1....3..1....3..2....3..3....0..2....2..3....1..2....2..0
%e ..2..2....3..0....3..1....0..2....0..2....2..2....2..3....1..2....2..1....2..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 04 2014
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