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A281535 Number of nX3 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I #4 Jan 23 2017 12:51:09

%S 0,4,290,2919,14561,63840,245037,871492,2953605,9666482,30769771,

%T 95835530,293254847,884195974,2632901317,7756881944,22642414159,

%U 65560614848,188478504627,538421898582,1529377862437,4321992091946

%N Number of nX3 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 3 of A281540.

%H R. H. Hardin, <a href="/A281535/b281535.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -6*a(n-2) +8*a(n-3) -31*a(n-4) +9*a(n-5) +6*a(n-6) +36*a(n-7) +87*a(n-8) -5*a(n-9) +106*a(n-10) -12*a(n-11) -13*a(n-12) +11*a(n-13) -102*a(n-14) +60*a(n-15) -42*a(n-16) -36*a(n-17) +68*a(n-18) -28*a(n-19) +16*a(n-21) -8*a(n-22) for n>30

%e Some solutions for n=4

%e ..0..0..1. .0..0..1. .0..0..1. .0..1..0. .0..1..2. .0..1..2. .0..0..1

%e ..1..2..1. .1..1..0. .1..2..0. .2..0..2. .2..0..2. .2..0..0. .2..1..2

%e ..1..0..2. .0..2..2. .0..2..1. .1..1..1. .0..1..1. .0..2..1. .0..0..0

%e ..1..2..0. .0..1..0. .1..2..1. .2..2..0. .1..2..0. .1..2..0. .1..1..1

%Y Cf. A281540.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 23 2017

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)