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Number of (n+1)X3 0..2 arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum
1

%I #5 Mar 31 2012 12:36:02

%S 171,2121,24993,313105,3959747,50512903,646053371,8287005157,

%T 106415024441,1368098434721,17598078326551,226486740265787,

%U 2915699882756875,37545244543350913,483541481413780309

%N Number of (n+1)X3 0..2 arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum

%C Column 2 of A185614

%H R. H. Hardin, <a href="/A185611/b185611.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 5X3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 31 2011