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%I #4 Feb 08 2014 06:10:18
%S 1566,14968,143780,1417638,13827553,133796732,1299276552,12704622556,
%T 123775917000,1201726394292,11695395424682,114007073462584,
%U 1110333740926480,10795061721131784,105114008441755394
%N Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 3 of A237472
%H R. H. Hardin, <a href="/A237467/b237467.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 11472*a(n-4) +172112*a(n-6) -37812530*a(n-8) -663246916*a(n-10) +50790367905*a(n-12) +761249798874*a(n-14) -32146054966276*a(n-16) -304708758684614*a(n-18) +10280551182576974*a(n-20) +42771666374352040*a(n-22) -1553497063233844858*a(n-24) -828101546375673368*a(n-26) +87626137555977865892*a(n-28) -29987331542118181888*a(n-30) -1405332522160731301316*a(n-32) -1307281040320640878576*a(n-34) -237276306341894545984*a(n-36) +504331457024995714736*a(n-38) +177295360720400834304*a(n-40) -369616840240934837504*a(n-42) -165061762109697469568*a(n-44) +29876592672185867904*a(n-46) -3071609549828566656*a(n-48) -5910185367238840832*a(n-50) +847309509009157632*a(n-52) +179582648095481856*a(n-54) +5899795247923200*a(n-56)
%e Some solutions for n=3
%e ..1..1..0..2....1..2..2..1....1..2..2..2....0..2..1..1....0..2..0..2
%e ..2..0..0..0....1..1..0..1....0..1..1..2....2..0..0..0....1..0..2..1
%e ..1..0..0..1....0..1..0..0....2..2..1..2....1..0..2..1....0..1..0..1
%e ..1..2..1..2....2..1..1..1....1..2..1..0....2..1..2..2....0..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 08 2014
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