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A317068 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 20 2018 13:39:02

%S 2,98,1161,16910,241716,3449720,49272887,703694269,10049871762,

%T 143528455050,2049818154527,29274714197340,418090207402991,

%U 5971003513309886,85275575281695947,1217872962830483355

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A317072.

%H R. H. Hardin, <a href="/A317068/b317068.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) +41*a(n-2) +89*a(n-3) -48*a(n-4) -333*a(n-5) -623*a(n-6) -225*a(n-7) -129*a(n-8) +156*a(n-9) +110*a(n-10) +454*a(n-11) +212*a(n-12) +29*a(n-13) -78*a(n-14) -12*a(n-15) +12*a(n-16) -16*a(n-17)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317072.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 20 2018

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Last modified April 23 11:35 EDT 2024. Contains 371912 sequences. (Running on oeis4.)