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 A275140 Number of n X 6 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2. 1

%I #8 Jan 31 2019 19:36:52

%S 16,432,1216,6464,32384,165568,841536,4283968,21800000,110943552,

%T 564600384,2873300800,14622480448,74415076672,378704836160,

%U 1927261993792,9808004727872,49913793159488,254015655387712,1292707868694336

%N Number of n X 6 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.

%H R. H. Hardin, <a href="/A275140/b275140.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) + 10*a(n-2) + 4*a(n-3) - 4*a(n-4) for n>6.

%F Empirical g.f.: 16*x*(1 + 24*x - 15*x^2 - 98*x^3 - 52*x^4 + 40*x^5) / (1 - 3*x - 10*x^2 - 4*x^3 + 4*x^4). - _Colin Barker_, Jan 31 2019

%e Some solutions for n=5:

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

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

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

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

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

%Y Column 6 of A275142.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2016

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Last modified September 10 19:02 EDT 2024. Contains 375794 sequences. (Running on oeis4.)