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A317453 Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 28 2018 20:50:27

%S 1,11,17,36,131,322,762,2337,6165,15869,44914,121947,324214,894468,

%T 2441451,6589367,18023035,49207556,133636847,364592196,994849120,

%U 2708442209,7384462695,20140768449,54883108164,149619672899,407984044766

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317458.

%H R. H. Hardin, <a href="/A317453/b317453.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +4*a(n-2) +16*a(n-3) -11*a(n-4) -59*a(n-5) -99*a(n-6) +30*a(n-7) +252*a(n-8) +272*a(n-9) +45*a(n-10) -323*a(n-11) -234*a(n-12) -12*a(n-13) +50*a(n-14) -117*a(n-15) -84*a(n-16) -38*a(n-17) -4*a(n-18) for n>20

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317458.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 28 2018

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)