%I #5 Feb 05 2014 05:36:48

%S 256,1416,8238,50998,324760,2135910,14272968,97077068,665750830,

%T 4607875290,32019860020,223534827494,1563373657868,10959098528264,

%U 76884218567414,539997393805814,3793994100382864,26671435372462390

%N Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock equal

%C Column 1 of A237225

%H R. H. Hardin, <a href="/A237219/b237219.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -8*a(n-2) -1098*a(n-3) +4586*a(n-4) +24400*a(n-5) -179753*a(n-6) -114082*a(n-7) +2989632*a(n-8) -3122880*a(n-9) -24773900*a(n-10) +51198752*a(n-11) +103774016*a(n-12) -332116608*a(n-13) -189089472*a(n-14) +1143792096*a(n-15) -35184544*a(n-16) -2249166912*a(n-17) +694237760*a(n-18) +2547612544*a(n-19) -1068840448*a(n-20) -1598213632*a(n-21) +687111168*a(n-22) +500299776*a(n-23) -200097792*a(n-24) -60039168*a(n-25) +21823488*a(n-26)

%e Some solutions for n=4

%e ..2..0....1..2....1..2....3..1....0..3....0..3....2..3....2..2....3..0....3..2

%e ..2..2....1..0....0..1....0..1....0..1....2..0....3..3....2..1....1..0....3..0

%e ..2..1....3..2....3..0....1..3....3..2....1..0....2..3....1..1....2..3....0..1

%e ..2..2....1..0....2..1....1..1....3..2....0..0....2..0....3..2....1..0....3..0

%e ..3..3....2..1....0..1....3..1....2..3....2..3....2..3....1..0....2..1....2..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 05 2014