%I #8 Nov 23 2018 21:18:01
%S 58,344,2007,11693,68160,397432,2317569,13514765,78810538,459578476,
%T 2680000719,15628241161,91135020168,531447642196,3099100611969,
%U 18072193466385,105386761387818,614555698316144,3583739564227927
%N Number of (n+1) X (1+1) 0..2 arrays with no 2 X 2 subblock having its minimum diagonal element less than its minimum antidiagonal element.
%H R. H. Hardin, <a href="/A250920/b250920.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) - 23*a(n-2) + 29*a(n-3) - 16*a(n-4) + 4*a(n-5).
%F Empirical g.f.: x*(58 - 178*x + 245*x^2 - 140*x^3 + 36*x^4) / (1 - 9*x + 23*x^2 - 29*x^3 + 16*x^4 - 4*x^5). - _Colin Barker_, Nov 23 2018
%e Some solutions for n=4:
%e ..2..2....1..0....1..2....1..1....2..0....1..1....1..1....1..2....0..0....2..1
%e ..0..2....2..2....1..2....2..2....0..0....2..1....2..2....0..0....0..0....1..1
%e ..0..1....0..1....0..2....2..2....2..2....2..1....0..2....0..1....2..1....2..1
%e ..0..2....0..0....0..0....2..2....1..1....0..0....0..0....0..1....1..1....0..0
%e ..0..0....1..2....2..0....1..1....0..1....1..0....1..1....0..1....0..2....2..1
%Y Column 1 of A250927.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 28 2014