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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 or nw-to-se diagonally exactly two ways, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:37:02

%S 9043,212290,5430396,87110239,1851793487,42694542185,825548834273,

%T 17195503706340,371722319290833,7585311372018021,157816886614165794,

%U 3332535960609074800,69088335337556239245,1439162071333884941158

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

%C Column 2 of A204538

%H R. H. Hardin, <a href="/A204535/b204535.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 16 2012