%I #12 Jun 21 2018 05:42:57

%S 1,2,6,15,37,90,223,550,1355,3341,8237,20307,50064,123426,304290,

%T 750185,1849478,4559634,11241151,27713513,68323858,168443083,

%U 415273274,1023799191,2524036217,6222664445,15341124083,37821433280,93243546406

%N Number of n X 2 0..1 arrays with every element equal to 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 2 of A300350.

%H R. H. Hardin, <a href="/A300344/b300344.txt">Table of n, a(n) for n = 1..210</a>

%H Simon Plouffe, <a href="http://vixra.org/abs/1409.0048"> Conjectures of the OEIS, as of June 20, 2018.</a>

%F Empirical: a(n) = a(n-1) + 2*a(n-2) + 3*a(n-3) + 2*a(n-4) + a(n-5).

%F Empirical g.f.: -x*(-2*x^4-2*x^3-2*x^2-x-1)/(-x^5-2*x^4-3*x^3-2*x^2-x+1). - _Simon Plouffe_, Jun 20 2018

%e Some solutions for n=5:

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

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

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

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

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

%Y Cf. A300350.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 03 2018