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1/25 the number of (n+1) X (n+1) 0..4 arrays with every 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements.
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%I #8 Feb 22 2025 14:34:24

%S 9,1517,1116249,3906948333,67213191427593,5796397762880763341

%N 1/25 the number of (n+1) X (n+1) 0..4 arrays with every 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements.

%e Some solutions for n=4:

%e ..0..1..2..2..4....0..2..2..0..0....1..1..4..3..2....3..3..0..3..4

%e ..2..0..1..2..2....4..0..2..2..0....2..1..1..4..3....2..3..3..4..1

%e ..3..2..0..1..2....3..4..0..2..2....0..2..1..1..4....3..3..0..3..4

%e ..1..3..2..0..1....0..3..4..0..2....0..0..2..1..1....3..2..3..2..3

%e ..0..1..3..2..0....3..0..3..4..0....3..0..0..2..1....4..3..0..3..0

%Y Diagonal of A203656.

%K nonn,more

%O 1,1

%A _R. H. Hardin_, Jan 04 2012