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

%I #4 Jun 16 2015 10:35:43

%S 9374,21073,55760,159480,397152,915452,2005182,4136140,8078000,

%T 15207697,27992566,49262392,85034718,144739230,240912192,392252878,

%U 631489978,1002303755,1565538282,2411206601,3673018438,5530443094,8228004970

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

%C Row 3 of A259006

%H R. H. Hardin, <a href="/A259008/b259008.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A259006

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 16 2015