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Number of (n+2) X (n+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3 X 3 subblock summing to 2 or 4.
0

%I #6 Mar 01 2023 15:34:04

%S 293,865,5527,64309,1374165,47407259,2525118941,207194435581,

%T 26296727620193,5146601734676793,1551231801668961273

%N Number of (n+2) X (n+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3 X 3 subblock summing to 2 or 4.

%C Diagonal of A251682.

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A251682.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 06 2014