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%I #5 Jan 29 2014 09:55:08
%S 81,474,2796,16588,98368,582304,3448740,20433016,121047396,716976816,
%T 4246991476,25158285744,149029929508,882785392368,5229257584788,
%U 30976260240096,183491943495380,1086934090832432,6438575430083476
%N Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum of every 2X2 subblock
%C Column 1 of A236640
%H R. H. Hardin, <a href="/A236635/b236635.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 50*a(n-3) +505*a(n-4) +1446*a(n-5) +4968*a(n-6) +9904*a(n-7) +2968*a(n-8) -14344*a(n-9) -107140*a(n-10) -262208*a(n-11) -282860*a(n-12) -257912*a(n-13) +344240*a(n-14) +1446208*a(n-15) +1594752*a(n-16) +1353472*a(n-17) +397312*a(n-18) -1295360*a(n-19) -1280000*a(n-20) -319488*a(n-21)
%e Some solutions for n=5
%e ..0..2....2..2....1..2....0..2....1..2....0..2....0..1....2..0....1..2....1..1
%e ..1..0....2..1....0..0....0..0....2..1....1..2....1..2....1..2....0..0....0..1
%e ..0..0....1..1....0..2....1..0....2..0....1..2....1..1....1..0....1..1....2..1
%e ..2..1....0..1....2..2....2..0....0..1....0..2....0..1....0..1....2..1....2..2
%e ..1..1....1..2....1..1....2..1....1..1....0..0....2..0....0..2....1..0....0..1
%e ..0..0....2..1....1..2....2..2....0..2....2..1....0..2....0..0....0..0....2..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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