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A278152 Number of nX3 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero. 1

%I #4 Nov 13 2016 06:34:06

%S 0,7,42,268,1759,11675,77102,509336,3365082,22232537,146885095,

%T 970436014,6411449580,42358984701,279856142429,1848945655959,

%U 12215561936959,80705429566515,533202352449825,3522746241343707,23273980363926953

%N Number of nX3 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

%C Column 3 of A278157.

%H R. H. Hardin, <a href="/A278152/b278152.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +5*a(n-2) -5*a(n-3) -4*a(n-4) -38*a(n-5) -25*a(n-6) +26*a(n-7) +3*a(n-8) +14*a(n-9) +19*a(n-10) -3*a(n-11) +3*a(n-12) -a(n-13) -a(n-14) for n>15

%e Some solutions for n=4

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

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

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

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

%Y Cf. A278157.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 13 2016

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Last modified April 18 03:01 EDT 2024. Contains 371767 sequences. (Running on oeis4.)