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Number of (7+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 10:38:20

%S 914320,459014,134036,49839,35404,49717,73734,133352,251774,493203,

%T 985500,1990343,4028838,8113534,16154696,31673619,60993464,115221230,

%U 213437204,387765033,691277518,1210138735,2081956120,3523173264

%N Number of (7+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 7 of A259006

%H R. H. Hardin, <a href="/A259012/b259012.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=1

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

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

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

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

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

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

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

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

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

%Y Cf. A259006

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 16 2015