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A304217 Number of nX4 0..1 arrays with every element unequal to 0, 1, 3 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 May 08 2018 10:52:01

%S 5,17,17,32,62,108,190,348,636,1152,2082,3768,6840,12412,22486,40744,

%T 73872,133932,242782,440076,797732,1446128,2621506,4752084,8614284,

%U 15615592,28307242,51313936,93019232,168620580,305667118,554098192

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 3 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A304221.

%H R. H. Hardin, <a href="/A304217/b304217.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A304221.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 08 2018

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)