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A301786 Number of nX4 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 26 2018 16:38:56

%S 5,9,17,32,61,116,221,421,802,1528,2911,5546,10566,20130,38351,73065,

%T 139201,265201,505252,962589,1833892,3493869,6656401,12681550,

%U 24160460,46029691,87694210,167072042,318300002,606414395,1155320189,2201076937

%N Number of nX4 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A301790.

%H R. H. Hardin, <a href="/A301786/b301786.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301790.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 26 2018

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)