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Number of nX3 0..1 arrays with every element equal to 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jan 28 2018 09:17:53

%S 0,1,1,2,3,7,12,25,47,96,187,377,746,1497,2981,5970,11919,23851,47668,

%T 95357,190659,381352,762615,1525285,3050426,6100941,12201649,24403442,

%U 48806507,97613247,195225884,390452145,780903303,1561807216,3123612835

%N Number of nX3 0..1 arrays with every element equal to 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A298902.

%H R. H. Hardin, <a href="/A298897/b298897.txt">Table of n, a(n) for n = 1..210</a>

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

%e All solutions for n=5

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

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

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

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

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

%Y Cf. A298902.

%K nonn

%O 1,4

%A _R. H. Hardin_, Jan 28 2018