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Number of (n+1)X(5+1) 0..2 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
1

%I #4 Feb 10 2014 18:11:41

%S 4621,4500,2086,2816,4622,5656,7756,11312,17626,22624,30496,45248,

%T 70792,90496,121984,180992,283168,361984,487936,723968,1132672,

%U 1447936,1951744,2895872,4530688,5791744,7806976,11583488,18122752,23166976,31227904

%N Number of (n+1)X(5+1) 0..2 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 5 of A237637

%H R. H. Hardin, <a href="/A237634/b237634.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-4) for n>13

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 10 2014