%I #5 Feb 04 2014 06:02:50
%S 256,1696,11242,79688,571176,4149488,30302376,222236840,1634080758,
%T 12040114696,88854942464,656646761776,4858559900656,35988568287312,
%U 266850660194506,1980583052699752,14713536840656472,109401041742567216
%N Number of (n+1)X(1+1) 0..3 arrays with the maximum minus the lower median of every 2X2 subblock equal
%C Column 1 of A237175
%H R. H. Hardin, <a href="/A237169/b237169.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 13*a(n-1) +41*a(n-2) -991*a(n-3) -233*a(n-4) +33503*a(n-5) -14430*a(n-6) -661128*a(n-7) +333383*a(n-8) +8416693*a(n-9) -2868153*a(n-10) -71956485*a(n-11) +5469267*a(n-12) +415886671*a(n-13) +92637374*a(n-14) -1590963716*a(n-15) -830241568*a(n-16) +3809932736*a(n-17) +3099961760*a(n-18) -5076149312*a(n-19) -5749892352*a(n-20) +2817108224*a(n-21) +4878532608*a(n-22) -21157888*a(n-23) -1661034496*a(n-24) -337674240*a(n-25) +167116800*a(n-26) +47185920*a(n-27)
%e Some solutions for n=4
%e ..1..1....2..1....3..2....1..2....3..0....1..1....2..3....3..1....0..2....3..1
%e ..2..0....3..3....1..2....2..1....1..1....1..2....2..1....1..2....1..3....2..2
%e ..2..1....0..2....3..2....2..0....3..1....3..3....0..1....1..3....1..3....0..3
%e ..2..3....3..2....1..2....2..1....1..3....2..1....1..2....2..1....2..1....3..2
%e ..1..3....0..2....2..1....2..3....3..0....2..1....3..3....1..3....3..0....0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 04 2014
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