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%I #4 Feb 04 2014 05:11:32
%S 256,1500,8414,52484,328768,2145192,14152560,95414944,649185798,
%T 4478130100,31091450584,217843944144,1532986230904,10852686898168,
%U 77047991907070,549127517842812,3920693547270496,28062818940398024
%N Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock equal
%C Column 1 of A237142
%H R. H. Hardin, <a href="/A237135/b237135.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-1) -1186*a(n-3) +4300*a(n-4) +29836*a(n-5) -178043*a(n-6) -268628*a(n-7) +3127196*a(n-8) -779130*a(n-9) -28579040*a(n-10) +32590712*a(n-11) +142648608*a(n-12) -254087072*a(n-13) -375342992*a(n-14) +955527424*a(n-15) +408264640*a(n-16) -1902301152*a(n-17) +178371840*a(n-18) +1899365760*a(n-19) -742376448*a(n-20) -734054400*a(n-21) +418037760*a(n-22)
%e Some solutions for n=4
%e ..2..3....3..1....1..3....0..0....0..2....3..1....0..2....2..3....0..2....1..3
%e ..3..3....3..0....3..1....1..3....1..2....0..3....3..3....2..2....3..0....0..2
%e ..3..0....3..0....3..3....1..1....2..1....3..1....0..1....3..1....2..2....2..3
%e ..3..3....0..3....3..3....1..3....1..2....3..1....3..3....1..2....0..3....2..1
%e ..0..3....3..1....2..3....1..0....2..0....3..1....1..2....3..1....1..2....3..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 04 2014
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