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A275403 Number of 4_X_n 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2. 1

%I

%S 6,31,178,1011,5758,32771,186538,1061795,6043830,34402035,195819682,

%T 1114623859,6344543534,36113737251,205562777626,1170082606339,

%U 6660219918630,37910596295955,215790669012498,1228300722808403

%N Number of 4_X_n 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2.

%H R. H. Hardin, <a href="/A275403/b275403.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) + 11*a(n-2) + 25*a(n-3) + 2*a(n-4) - 24*a(n-5) for n>6.

%F Empirical g.f.: x*(6 + 13*x + 19*x^2 - 14*x^3 - 20*x^4 + 8*x^5) / (1 - 3*x - 11*x^2 - 25*x^3 - 2*x^4 + 24*x^5). - _Colin Barker_, Feb 04 2019

%e Some solutions for n=4:

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

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

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

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

%Y Row 4 of A275401.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 26 2016

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Last modified September 22 13:48 EDT 2021. Contains 347607 sequences. (Running on oeis4.)