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Number of (n+2) X (n+2) 0..1 arrays with every 3 X 3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically.
0

%I #6 Mar 10 2023 13:40:25

%S 512,15848,748444,52855290,5252066348,913402797416,217878991008870,

%T 84913090550322584,49469250115481261672

%N Number of (n+2) X (n+2) 0..1 arrays with every 3 X 3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally and vertically.

%C Diagonal of A254819.

%e Some solutions for n=2

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

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

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

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

%Y Cf. A254819.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2015