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Number of (n+2)X4 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:37:01

%S 15309,599534,24722349,610123426,19542294660,640219515512,

%T 19024434539826,592133292151157,18539942968489618,569964486551172499,

%U 17666458819729503194,548346787225315800306,16961895993823798307356

%N Number of (n+2)X4 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..3 introduced in row major order

%C Column 2 of A204320

%H R. H. Hardin, <a href="/A204317/b204317.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012