%I #8 Nov 24 2018 08:11:32

%S 780,19208,472712,11633448,286298344,7045780240,173396103624,

%T 4267264603784,105017049454880,2584461405506568,63603393841083832,

%U 1565274567258578128,38521285153870175304,948005826546231120680

%N Number of (n+1) X (4+1) 0..1 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

%H R. H. Hardin, <a href="/A250952/b250952.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 27*a(n-1) - 57*a(n-2) - 46*a(n-3) + 30*a(n-4).

%F Empirical g.f.: 4*x*(195 - 463*x - 361*x^2 + 240*x^3) / (1 - 27*x + 57*x^2 + 46*x^3 - 30*x^4). - _Colin Barker_, Nov 24 2018

%e Some solutions for n=2:

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

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

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

%Y Column 4 of A250956.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2014