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Number of (4+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 10:36:22

%S 34698,59549,116098,225215,402742,780329,1284465,2218382,3724801,

%T 6307988,10527894,17501266,28940280,47007866,75374462,120165915,

%U 189056785,293834152,452340776,689561240,1040594004,1555721598,2303970789

%N Number of (4+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 4 of A259006

%H R. H. Hardin, <a href="/A259009/b259009.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

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

%Y Cf. A259006

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 16 2015