%I #4 Feb 13 2014 06:15:54
%S 1176,7220,44224,241036,1618456,10751680,75418228,465173744,
%T 3176256972,21049234848,147328887252,921968552116,6322252216966,
%U 41542722431956,289897758698800,1827881244483108,12568775829371758,82064904769569132
%N Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Column 3 of A237779
%H R. H. Hardin, <a href="/A237774/b237774.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 1890*a(n-4) +11436*a(n-6) -297317*a(n-8) -1964276*a(n-10) +14369445*a(n-12) +101694144*a(n-14) -182013563*a(n-16) -1485295098*a(n-18) +1261787279*a(n-20) +7944769616*a(n-22) -6190719967*a(n-24) -10223487242*a(n-26) +8861140786*a(n-28) +4411410330*a(n-30) -7175325372*a(n-32) +2763746512*a(n-34) +683460326*a(n-36) -1158240208*a(n-38) +99695884*a(n-40) +172729392*a(n-42) -44372896*a(n-44) +3735360*a(n-46) +487680*a(n-48) -9216*a(n-50) for n>55
%e Some solutions for n=3
%e ..0..2..1..1....1..1..0..0....1..0..2..1....0..0..2..1....2..1..1..1
%e ..0..1..2..0....0..0..0..2....0..1..1..2....1..1..1..2....1..0..1..2
%e ..1..0..0..0....2..1..1..0....2..0..1..0....2..0..1..0....1..1..2..1
%e ..2..0..2..1....0..2..0..1....0..2..1..1....1..2..1..1....0..2..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 13 2014
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