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

%I #5 Mar 31 2012 12:37:01

%S 74,713,5516,29977,174154,1006754,5145580,25995176,133684004,

%T 707201520,3661939020,18948360322,97881117718,510078073616,

%U 2645150326944,13723850334058,71090541203488,369204600318682,1915031044755598

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

%C Diagonal of A204361

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2012