cp's OEIS Frontend

A183314 Number of n X 2 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it.

%I A183314 #10 Mar 27 2018 08:49:50
%S A183314 3,6,13,27,57,119,250,523,1097,2297,4815,10086,21137,44283,92793,
%T A183314 194419,407378,853559,1788481,3747361,7851867,16451910,34471669,
%U A183314 72228171,151339401,317100335,664418698,1392152131,2916968489,6111905849
%N A183314 Number of n X 2 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it.
%C A183314 Column 2 of A183322.
%C A183314 Is this related to A131246?
%H A183314 R. H. Hardin, <a href="/A183314/b183314.txt">Table of n, a(n) for n = 1..200</a>
%F A183314 Empirical: a(n) = a(n-1) + 3*a(n-2) - a(n-3) - a(n-4).
%F A183314 Empirical g.f.: x*(3 + 3*x - 2*x^2 - x^3) / (1 - x - 3*x^2 + x^3 + x^4). - _Colin Barker_, Mar 27 2018
%e A183314 Some solutions for 5 X 2.
%e A183314 ..0..0....1..1....1..1....1..1....0..1....0..0....0..0....0..1....0..0....0..0
%e A183314 ..0..0....1..1....1..1....1..1....0..1....0..1....0..1....0..1....0..0....0..1
%e A183314 ..1..1....0..1....0..0....0..0....0..0....0..1....0..1....0..1....1..1....0..1
%e A183314 ..1..1....0..1....0..1....0..0....1..1....0..1....0..0....0..1....1..1....1..1
%e A183314 ..1..1....0..0....0..1....0..0....1..1....1..1....1..1....0..0....0..1....1..1
%Y A183314 Cf. A131246, A183322.
%K A183314 nonn
%O A183314 1,1
%A A183314 _R. H. Hardin_, Jan 03 2011