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Number of (n+2) X 6 0..2 arrays with every 3 X 3 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.
0

%I #6 Mar 08 2023 13:29:27

%S 2824381,141179471,7481378218,359921488544,18627221533275,

%T 1007554899863623,51962183525069234

%N Number of (n+2) X 6 0..2 arrays with every 3 X 3 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 4 of A204745.

%e Some solutions for n=3

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

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

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

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

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

%Y Cf. A204745.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2012