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Number of (6+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 14:47:32

%S 2470,60779,1285960,29779356,664592224,15101198444,340810754556,

%T 7718859534172,174609465692412,3952593151324508,89455292982348156,

%U 2024830824062678364,45830713758743507260,1037376112305113319452

%N Number of (6+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 6 of A253350

%H R. H. Hardin, <a href="/A253355/b253355.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A253355/a253355.txt">Empirical recurrence of order 43</a>

%F Empirical recurrence of order 43 (see link above)

%e Some solutions for n=2

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014