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Number of (n+1)X(n+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order
1

%I #6 Mar 31 2012 12:37:10

%S 14,130,760,8136,86152,1764000,68074272,2870491680,232945511040,

%T 35774121536640,6032245277059200,1955894774772902400,

%U 1200725012024612467200,809841945662029576512000

%N Number of (n+1)X(n+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order

%C Diagonal of A206215

%H R. H. Hardin, <a href="/A206207/b206207.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 04 2012