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Half the number of (n+1)X3 0..3 arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one
1

%I #5 Mar 31 2012 12:35:55

%S 992,13168,180236,2735260,41834260,664848772,10590791696,171342163572,

%T 2773791363468,45188768213912,736289744424852,12028064081660100,

%U 196494751955798320,3213453373098034744,52552197090450863696

%N Half the number of (n+1)X3 0..3 arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

%C Column 2 of A183976

%H R. H. Hardin, <a href="/A183973/b183973.txt">Table of n, a(n) for n = 1..134</a>

%e Some solutions for 4X3

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

%e ..2..0..2....2..0..1....1..2..1....1..1..2....2..2..3....2..0..1....3..2..3

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

%e ..0..1..2....3..0..2....2..2..2....0..1..1....0..3..2....1..1..0....1..3..1

%e ...

%e ...3..4.......3..3.......4..4.......4..5.......6..7.......2..1.......6..7...

%e ...4..3.......3..2.......4..5.......4..5.......6..6.......3..2.......6..6...

%e ...3..4.......4..3.......5..6.......3..4.......5..6.......3..2.......5..5...

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 08 2011