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%I #5 Feb 16 2014 05:45:57
%S 256,1718,11701,81402,563166,3880918,26804881,185489824,1282099556,
%T 8852862392,61169759404,422870170848,2922385929712,20190059774152,
%U 139517455447976,964213093638072,6663225933024004,46041769193957056
%N Number of (n+1)X(1+1) 0..3 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 1 of A237936
%H R. H. Hardin, <a href="/A237931/b237931.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 1888*a(n-4) +26908*a(n-6) -301104*a(n-8) -4523964*a(n-10) +9356144*a(n-12) +158092496*a(n-14) +15024960*a(n-16) -2150807552*a(n-18) -1973442560*a(n-20) +11283515392*a(n-22) +13873016832*a(n-24) -19456245760*a(n-26) -21131821056*a(n-28) +10415243264*a(n-30) +385875968*a(n-32) -96468992*a(n-34) -16777216*a(n-36)
%e Some solutions for n=4
%e ..1..0....2..2....0..3....2..2....2..1....2..1....1..0....0..2....1..1....0..2
%e ..1..3....3..3....1..2....2..1....0..1....1..0....0..2....3..2....0..1....0..2
%e ..2..2....2..1....3..1....2..1....2..2....0..1....1..1....0..3....2..2....3..1
%e ..3..0....2..2....3..1....3..0....2..3....1..2....1..3....1..3....0..2....2..3
%e ..3..2....2..0....1..2....3..1....3..2....3..2....1..2....1..3....3..1....0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 16 2014
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