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Number of (7+1)X(n+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1

%I #4 Dec 30 2014 14:48:37

%S 6740,265605,8289288,294392852,9887498224,340936886060,11626813328444,

%T 398578975350940,13633999376006716,466850450860194844,

%U 15978940687094003772,547023103552208133532,18725253669758435162108

%N Number of (7+1)X(n+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Row 7 of A253350

%H R. H. Hardin, <a href="/A253356/b253356.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A253356/a253356.txt">Empirical recurrence of order 84</a>

%F Empirical recurrence of order 84 (see link above)

%e Some solutions for n=1

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014