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A316125 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1

%I #4 Jun 24 2018 16:40:57

%S 1,16,60,197,816,3421,13488,54585,222050,896928,3628145,14702693,

%T 59523873,240964415,975799703,3951226107,15998479918,64780965677,

%U 262310632650,1062132574354,4300748194584,17414464996336,70513993015956

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316130.

%H R. H. Hardin, <a href="/A316125/b316125.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +4*a(n-2) +12*a(n-3) -25*a(n-4) -79*a(n-5) -35*a(n-6) +82*a(n-7) +219*a(n-8) +105*a(n-9) -20*a(n-10) -245*a(n-11) -206*a(n-12) -64*a(n-13) +38*a(n-14) +162*a(n-15) +97*a(n-16) +46*a(n-17) +18*a(n-18) -16*a(n-19) -8*a(n-20) for n>21

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316130.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jun 24 2018

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Last modified April 25 10:22 EDT 2024. Contains 371967 sequences. (Running on oeis4.)