%I #4 Dec 01 2014 11:28:31
%S 52,219,822,3390,12954,52474,202882,813336,3168621,12623928,49416048,
%T 196129247,770019542,3049031658,11992662293,47418860005,186721692802,
%U 737641381117,2906639008138,11476362571548,45241436664983
%N Number of (n+1)X(3+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally
%C Column 3 of A251292
%H R. H. Hardin, <a href="/A251287/b251287.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +17*a(n-2) -25*a(n-3) -74*a(n-4) +87*a(n-5) +108*a(n-6) -77*a(n-7) -72*a(n-8) +15*a(n-9) +18*a(n-10) +2*a(n-11)
%e Some solutions for n=4
%e ..0..1..0..1....1..0..1..1....1..1..1..0....0..0..0..1....1..0..0..1
%e ..0..1..0..1....0..0..0..0....0..0..0..0....0..1..0..1....0..1..0..0
%e ..0..1..0..0....1..0..1..0....1..1..1..1....0..1..0..1....0..1..0..1
%e ..0..0..1..1....1..0..0..0....0..0..0..0....0..1..0..0....0..0..0..0
%e ..1..0..0..0....1..0..1..0....0..1..1..1....0..0..1..0....1..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 01 2014