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Number of (n+1)X3 0..3 arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum
1

%I #5 Mar 31 2012 12:36:05

%S 3692,177828,8615618,417088596,20193981078,977699814950,

%T 47335848259278,2291792095998252,110958374507692204,

%U 5372111327226747082,260093749652303402672,12592583127612012635058,609676896434287972027718

%N Number of (n+1)X3 0..3 arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

%C Column 2 of A186200

%H R. H. Hardin, <a href="/A186198/b186198.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 5X3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 14 2011