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%I #8 Oct 20 2018 10:24:30
%S 81,306,1276,4672,18784,70688,278352,1062192,4143280,15915216,
%T 61792048,238127760,922461744,3560485008,13777495472,53218656784,
%U 205822482224,795331807888,3075135853232,11884984533264,45947260928560
%N Number of (n+1) X (1+1) 0..2 arrays colored with the sum of the maximum and minimum values of each 2 X 2 subblock.
%H R. H. Hardin, <a href="/A236011/b236011.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-2) + 14*a(n-3) + 30*a(n-4) + 16*a(n-5) + 8*a(n-6) for n>7.
%F Empirical g.f.: x*(81 + 306*x + 547*x^2 + 784*x^3 + 586*x^4 + 300*x^5 + 64*x^6) / (1 - 9*x^2 - 14*x^3 - 30*x^4 - 16*x^5 - 8*x^6). - _Colin Barker_, Oct 20 2018
%e Some solutions for n=5:
%e ..2..2....1..0....1..2....2..1....0..2....0..2....1..2....2..1....1..0....0..2
%e ..2..1....1..2....2..2....2..2....2..1....1..1....2..1....1..2....0..0....0..0
%e ..0..0....1..2....0..1....1..0....1..1....2..2....1..0....0..1....2..1....1..0
%e ..0..0....0..0....0..0....1..0....1..1....2..2....1..1....0..0....1..1....2..1
%e ..2..2....1..1....2..1....2..2....1..0....1..2....1..1....2..2....1..1....1..1
%e ..1..1....2..0....2..1....2..2....0..2....0..0....2..1....2..2....1..0....2..0
%Y Column 1 of A236018.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 18 2014
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