%I #4 Jan 15 2018 09:42:31

%S 1,5,13,42,127,389,1192,3645,11161,34154,104539,319953,979264,2997185,

%T 9173317,28076298,85931623,263006381,804969688,2463728085,7540602049,

%U 23079121226,70637043811,216195058137,661696762096,2025220228025

%N Number of nX2 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 2 of A298240.

%H R. H. Hardin, <a href="/A298234/b298234.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298240.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 15 2018