A282641 - OEIS

%I #6 Feb 28 2017 04:10:16

%S 4,11,27,76,201,537,1444,3859,10339,27692,74145,198577,531780,1424091,

%T 3813739,10213132,27350713,73245065,196149732,525287779,1406717235,

%U 3767179500,10088482321,27016889761,72351054724,193755653291

%N Number of nX2 0..1 arrays with no 1 equal to more than one of its king-move neighbors.

%C Column 2 of A282647.

%H R. H. Hardin, <a href="/A282641/b282641.txt">Table of n, a(n) for n = 1..210</a>

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

%F G.f.: -x*(4+7*x+4*x^2)/(-1+x+3*x^2+4*x^3) . - _R. J. Mathar_, Feb 28 2017

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282647.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 20 2017