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Number of (n+2)X5 0..2 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..2 introduced in row major order
1

%I #5 Mar 31 2012 12:37:06

%S 33322,549414,10331386,151598017,2553087985,45661264026,735422130329,

%T 12286397087182,212128668698876,3518160933737460,58829708185415817,

%U 999828369246325845,16744112843227770105,280613932821800402695

%N Number of (n+2)X5 0..2 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..2 introduced in row major order

%C Column 3 of A205415

%H R. H. Hardin, <a href="/A205410/b205410.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 26 2012