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%I #6 May 11 2023 13:08:24
%S 70688,140716,313060,771564,2004428,5805712,15065380,40075220,
%T 108049932,292941484,783428520,2102168788,5695213348,15293178312,
%U 41005903868,110638020236,297949963720,801215508408,2155569514552,5809862454936
%N Number of (n+1) X (6+1) 0..2 arrays colored with the sum of the maximum and minimum values of each 2 X 2 subblock.
%C Column 6 of A236018.
%H R. H. Hardin, <a href="/A236016/b236016.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-2) +24*a(n-4) +3*a(n-5) +4*a(n-6) +123*a(n-7) -513*a(n-9) +393*a(n-10) -1940*a(n-11) -6553*a(n-12) -2329*a(n-13) -21264*a(n-14) -12956*a(n-15) +6136*a(n-16) -13278*a(n-17) -21758*a(n-18) +155426*a(n-19) -77448*a(n-20) +448608*a(n-21) +574916*a(n-22) +20728*a(n-23) +1436288*a(n-24) +23184*a(n-25) +245120*a(n-26) +187872*a(n-27) +671424*a(n-28) +16128*a(n-29) +424000*a(n-30) -66048*a(n-31) +82944*a(n-32) +101376*a(n-34) for n>40.
%e Some solutions for n=2
%e ..1..2..0..1..1..0..2....1..2..1..1..1..2..0....1..0..0..2..2..0..1
%e ..2..1..1..1..1..0..0....2..1..0..1..1..1..0....2..1..1..1..1..1..0
%e ..1..0..0..2..2..0..0....2..0..1..2..2..0..1....2..2..0..0..2..2..2
%Y Cf. A236018.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 18 2014
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