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%I #4 Jan 29 2014 08:11:01
%S 390,2586,17114,106184,645208,4152180,26549772,165983800,1030960714,
%T 6559482790,41617435108,261155702658,1635429768844,10351073058430,
%U 65443794339874,411533381973194,2586183990959816,16330252501785100
%N Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the upper median of every 2X2 subblock
%C Column 2 of A236618
%H R. H. Hardin, <a href="/A236612/b236612.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-2) +43*a(n-3) +968*a(n-4) +1219*a(n-5) +848*a(n-6) +1022*a(n-7) -59812*a(n-8) -48024*a(n-9) +199299*a(n-10) +34257*a(n-11) +110622*a(n-12) +235004*a(n-13) -1402148*a(n-14) +410643*a(n-15) +1245654*a(n-16) -1480077*a(n-17) +2710856*a(n-18) -1245093*a(n-19) -2253045*a(n-20) +2250775*a(n-21) -4602803*a(n-22) +1885365*a(n-23) +2227221*a(n-24) -1911884*a(n-25) +2191380*a(n-26) -813800*a(n-27) -664553*a(n-28) +479557*a(n-29) -129361*a(n-30) +128225*a(n-31) -10056*a(n-32) -7436*a(n-33) +3464*a(n-34) -1712*a(n-35) +128*a(n-36) for n>40
%e Some solutions for n=4
%e ..0..1..2....2..2..0....0..1..2....1..0..2....2..0..1....0..1..2....2..0..0
%e ..0..1..0....1..1..0....0..1..1....1..0..2....0..0..2....2..1..2....0..0..0
%e ..0..0..1....0..0..0....2..0..0....0..0..1....1..2..1....2..1..0....0..0..2
%e ..0..0..2....0..0..2....0..2..1....0..0..1....2..0..0....0..0..1....0..2..0
%e ..2..1..2....2..0..1....0..1..2....2..0..0....1..0..0....0..1..2....2..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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