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A275261 Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2. 1

%I #4 Jul 21 2016 11:31:02

%S 5,54,128,396,1440,5676,22844,93968,389820,1626348,6799728,28470780,

%T 119289068,500005184,2096208716,8789088828,36853587936,154536271820,

%U 648021215772,2717393443696,11395105468828,47784338066636

%N Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2.

%C Column 3 of A275266.

%H R. H. Hardin, <a href="/A275261/b275261.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -4*a(n-2) -20*a(n-3) +28*a(n-4) -40*a(n-5) +8*a(n-6) +194*a(n-7) -180*a(n-8) +36*a(n-9) +56*a(n-10) -356*a(n-11) +201*a(n-12) +180*a(n-13) -108*a(n-14) for n>17

%e Some solutions for n=4

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

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

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

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

%Y Cf. A275266.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 21 2016

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)