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%I #4 Feb 07 2014 04:55:24
%S 1024,4760,22676,116880,597492,3049632,15573476,80201408,411286836,
%T 2099304960,10729460820,55269328800,283525603492,1447353862496,
%U 7398722121284,38126239186720,195635060216484,998817510951744
%N Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 3 of A237375
%H R. H. Hardin, <a href="/A237370/b237370.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 1564*a(n-4) -747073*a(n-8) +111088396*a(n-12) -8474399747*a(n-16) +395014705516*a(n-20) -12200813483051*a(n-24) +260237478196460*a(n-28) -3910838038088336*a(n-32) +41692053218771904*a(n-36) -314601993651065152*a(n-40) +1666350374235368704*a(n-44) -6122043810041542656*a(n-48) +15393880291002724352*a(n-52) -26078740876304560128*a(n-56) +29011441580998115328*a(n-60) -20170260434720194560*a(n-64) +7882073405327409152*a(n-68) -1264135601955799040*a(n-72) -77945556453818368*a(n-76) +37076376167120896*a(n-80) -1030466538831872*a(n-84) -153055186124800*a(n-88) +7219840024576*a(n-92) for n>94
%e Some solutions for n=4
%e ..2..0..1..0....1..0..0..1....1..1..2..1....1..1..1..2....1..2..1..2
%e ..0..1..2..0....2..2..2..2....1..1..1..2....1..1..0..1....0..0..1..1
%e ..1..0..0..0....2..0..1..1....2..1..1..1....0..1..0..2....2..0..2..0
%e ..1..1..1..2....1..2..1..2....2..1..2..0....2..1..1..1....1..0..2..1
%e ..1..1..0..1....0..1..1..0....1..1..2..1....0..0..2..1....2..1..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 07 2014
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