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Number of (n+1)X3 0..2 arrays with every 2X2 subblock sum equal to exactly one or two horizontal and vertical neighbor 2X2 subblock sums
1

%I #6 Mar 31 2012 12:36:06

%S 171,2121,24414,285724,3409112,40893800,492154924,5938127608,

%T 71755699992,868144018572,10511898062464,127364674658272,

%U 1543896563706688,18721690171445596,227085751983499944,2755034034648413220

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

%C Column 2 of A186871

%H R. H. Hardin, <a href="/A186868/b186868.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 5X3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 27 2011