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%I #5 Jan 29 2014 08:50:26
%S 256,2624,26560,272160,2793840,28623360,293206144,3004474720,
%T 30787484400,315466604800,3232443987328,33121714435232,
%U 339386917161584,3477578105724160,35633504005053312,365123791082829024
%N Number of (n+1)X(1+1) 0..3 arrays colored with the maximum plus the lower median of every 2X2 subblock
%C Column 1 of A236624
%H R. H. Hardin, <a href="/A236620/b236620.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 304*a(n-3) +4012*a(n-4) +21408*a(n-5) +131544*a(n-6) +480256*a(n-7) +1095762*a(n-8) +2382528*a(n-9) -7588872*a(n-10) -47015904*a(n-11) -158803396*a(n-12) -569595744*a(n-13) -679250552*a(n-14) -333197568*a(n-15) +2056975591*a(n-16) +18914327296*a(n-17) +34799954216*a(n-18) +64591344816*a(n-19) +115113338336*a(n-20) -23416566272*a(n-21) -143590120832*a(n-22) -350090976000*a(n-23) -1031067717376*a(n-24) -1144206867456*a(n-25) -1239076647936*a(n-26) -1669973962752*a(n-27) -1104748867584*a(n-28) -692833222656*a(n-29) -631651958784*a(n-30) -206009008128*a(n-31)
%e Some solutions for n=3
%e ..3..2....3..1....0..0....2..0....1..2....0..0....1..0....0..0....1..1....1..1
%e ..3..3....1..3....0..2....0..1....2..1....3..2....1..0....2..0....3..3....1..1
%e ..1..0....0..0....0..3....1..0....1..3....0..1....2..2....3..0....3..1....3..3
%e ..1..0....2..0....3..3....1..2....3..3....2..2....0..2....1..3....2..0....0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 29 2014
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