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A301793 Number of 4Xn 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 16:44:10

%S 8,34,24,32,45,66,100,155,244,388,621,998,1608,2595,4192,6776,10957,

%T 17722,28668,46379,75036,121404,196429,317822,514240,832051,1346280,

%U 2178320,3524589,5702898,9227476,14930363,24157828,39088180,63245997

%N Number of 4Xn 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Row 4 of A301790.

%H R. H. Hardin, <a href="/A301793/b301793.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-3) for n>5

%e Some solutions for n=5

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

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

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

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

%Y Cf. A301790.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 26 2018

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Last modified April 18 20:18 EDT 2024. Contains 371781 sequences. (Running on oeis4.)