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Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1

%I #4 Jan 31 2015 12:53:21

%S 2703,12324,68832,356061,1731335,8282251,38770022,178707667,815255701,

%T 3683796336,16525980573,73671578242,326677241389,1441862858957,

%U 6338127433805,27761171502804,121206014851274,527673136282231

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 2 of A254512

%H R. H. Hardin, <a href="/A254506/b254506.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2015