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A303725 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero. 1

%I #4 Apr 29 2018 11:10:35

%S 32,293,151,221,345,569,894,1402,2341,3998,6796,11609,19890,34076,

%T 58545,100728,173218,297967,512794,882484,1518819,2614340,4500016,

%U 7745865,13333492,22951984,39509087,68010918,117074304,201532279,346919778

%N Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero.

%C Column 6 of A303727.

%H R. H. Hardin, <a href="/A303725/b303725.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-4) -a(n-5) +a(n-6) -a(n-7) -a(n-8) +2*a(n-9) for n>15

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303727.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 29 2018

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Last modified May 4 22:58 EDT 2024. Contains 372257 sequences. (Running on oeis4.)