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Number of (n+1)X(7+1) 0..2 arrays colored with the upper median value of each 2X2 subblock
1

%I #4 Jan 17 2014 14:12:52

%S 58896,18468,4884,7320,9260,14440,21288,29328,41748,57760,83202,

%T 117312,164264,231040,333776,469248,657056,924160,1335104,1876992,

%U 2628224,3696640,5340416,7507968,10512896,14786560,21361664,30031872,42051584

%N Number of (n+1)X(7+1) 0..2 arrays colored with the upper median value of each 2X2 subblock

%C Column 7 of A235954

%H R. H. Hardin, <a href="/A235953/b235953.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-4) for n>15

%e Some solutions for n=5

%e ..1..2..1..0..0..2..0..0....2..0..1..2..0..0..0..2....1..0..1..2..1..0..2..1

%e ..0..0..2..1..0..1..2..0....0..0..2..1..0..1..2..1....2..0..0..0..2..0..0..0

%e ..1..0..1..2..0..0..0..2....1..2..0..0..0..2..0..0....1..2..1..0..1..2..1..0

%e ..2..0..0..0..2..1..0..1....2..1..0..1..2..1..0..1....0..0..2..0..0..0..2..0

%e ..1..2..1..0..1..2..0..0....0..0..0..2..0..0..0..2....2..0..1..2..1..0..1..2

%e ..1..1..2..0..0..1..2..1....0..1..2..1..0..1..2..0....2..0..0..1..2..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2014