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%I #4 Feb 09 2014 06:44:34
%S 1240,8764,60002,343356,2403292,16373120,122961380,785426128,
%T 5684118308,38591882672,288701778796,1875287628052,13686600650894,
%U 92040152306336,684906875721050,4484128351917688,32873214587739986,219731229818042284
%N Number of (n+1)X(3+1) 0..2 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 3 of A237557
%H R. H. Hardin, <a href="/A237552/b237552.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2209*a(n-4) +20488*a(n-6) -484417*a(n-8) -5045450*a(n-10) +32187035*a(n-12) +379511934*a(n-14) -482584122*a(n-16) -8372244682*a(n-18) +3088423171*a(n-20) +62221443020*a(n-22) -15504608944*a(n-24) -153636549438*a(n-26) +65472211942*a(n-28) +88325162236*a(n-30) -29619139113*a(n-32) -11600316200*a(n-34) +3764093856*a(n-36) +396449184*a(n-38) -150944128*a(n-40) -7616128*a(n-42) -95232*a(n-44) for n>49
%e Some solutions for n=3
%e ..1..1..0..2....0..2..1..1....0..0..1..0....0..1..2..1....1..1..1..2
%e ..1..1..2..0....0..0..1..0....2..1..0..2....0..2..0..1....1..0..2..1
%e ..1..2..1..1....2..1..0..0....2..0..2..0....2..1..1..1....0..2..1..1
%e ..2..0..0..1....2..0..2..0....1..0..0..1....0..1..0..2....2..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 09 2014
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