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Number of nX2 0..1 arrays with every element unequal to 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
3

%I #4 Aug 07 2018 22:04:26

%S 1,5,16,50,160,511,1634,5226,16716,53471,171045,547149,1750258,

%T 5598852,17910021,57291907,183269625,586256561,1875361283,5999045795,

%U 19190195958,61387032829,196369427849,628161199864,2009408986694,6427847623748

%N Number of nX2 0..1 arrays with every element unequal to 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 2 of A317823.

%H R. H. Hardin, <a href="/A317817/b317817.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +a(n-2) -3*a(n-4) -2*a(n-5) -a(n-6)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317823.

%K nonn

%O 1,2

%A _R. H. Hardin_, Aug 07 2018

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Last modified September 24 00:05 EDT 2024. Contains 376185 sequences. (Running on oeis4.)