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A305227 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 May 27 2018 17:43:32

%S 16,120,108,253,757,2050,5958,17002,49275,142734,414039,1202260,

%T 3491206,10141687,29461836,85594654,248682102,722521492,2099237868,

%U 6099225999,17721044395,51487829975,149596113978,434646575675,1262851676336

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3 or 8 king-move adjacent elements, with upper left element zero.

%C Column 5 of A305230.

%H R. H. Hardin, <a href="/A305227/b305227.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -a(n-2) -7*a(n-3) +5*a(n-5) +7*a(n-7) -4*a(n-8) -3*a(n-9) -a(n-10) +a(n-12) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305230.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 27 2018

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Last modified April 25 10:33 EDT 2024. Contains 371967 sequences. (Running on oeis4.)