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

%I #5 Mar 31 2012 12:37:03

%S 17835,352950,7146451,141179471,2839352529,57762265633,1169004717315,

%T 23699614326315,481694347006804,9783482284673750,198709861019246962,

%U 4037924969719681164,82048520869992751650,1667108979331825321864

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

%C Column 2 of A204745

%H R. H. Hardin, <a href="/A204742/b204742.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 18 2012