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A317759 Number of nX2 0..1 arrays with every element unequal to 0, 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 3

%I #4 Aug 06 2018 11:48:44

%S 2,6,10,20,42,89,190,407,873,1874,4024,8642,18561,39866,85627,183917,

%T 395034,848492,1822474,3914489,8407926,18059375,38789713,83316386,

%U 178955184,384377666,825604417,1773314930,3808901427,8181135701

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

%C Column 2 of A317764.

%H R. H. Hardin, <a href="/A317759/b317759.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317764.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 06 2018

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Last modified April 16 09:52 EDT 2024. Contains 371698 sequences. (Running on oeis4.)