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A275187 Number of 7 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2. 1

%I #7 Feb 01 2019 11:55:28

%S 32,65,389,2386,14643,90793,561044,3472521,21488129,132962186,

%T 822814111,5091567885,31507279460,194970115869,1206493799669,

%U 7465907869266,46199772632427,285888830879985,1769108624416628,10947420840825089

%N Number of 7 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.

%H R. H. Hardin, <a href="/A275187/b275187.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) + 20*a(n-2) + 43*a(n-3) - 20*a(n-4) - 92*a(n-5) - 176*a(n-6) - 16*a(n-7) - 16*a(n-8) + 64*a(n-9) for n>10.

%F Empirical g.f.: x*(32 + x - 381*x^2 - 1068*x^3 - 64*x^4 + 1304*x^5 + 3392*x^6 + 384*x^7 + 496*x^8 - 1216*x^9) / (1 - 2*x - 20*x^2 - 43*x^3 + 20*x^4 + 92*x^5 + 176*x^6 + 16*x^7 + 16*x^8 - 64*x^9). - _Colin Barker_, Feb 01 2019

%e Some solutions for n=4:

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

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

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

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

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

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

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

%Y Row 7 of A275183.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 19 2016

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)