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Number of (n+1)X(6+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 14:41:17

%S 2470,60368,1294016,29746140,665370612,15101198444,340936886060,

%T 7720152604732,174647893015868,3953303875494396,89471868077769052,

%U 2025187625684564732,45838781616150898140,1037556396962997073724

%N Number of (n+1)X(6+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 6 of A253350

%H R. H. Hardin, <a href="/A253348/b253348.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A253348/a253348.txt">Empirical recurrence of order 43</a>

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

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014