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 A277782 Number of n X 2 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2. 1

%I #9 Feb 06 2019 06:05:46

%S 0,3,12,84,498,3090,18930,116382,714810,4391526,26977818,165732438,

%T 1018135578,6254670486,38424042426,236048762550,1450108129242,

%U 8908386492054,54726504918906,336198967755510,2065356559176474

%N Number of n X 2 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2.

%H R. H. Hardin, <a href="/A277782/b277782.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +8*a(n-2) -6*a(n-3).

%F Empirical g.f.: 3*x^2*(1 - x) / (1 - 5*x - 8*x^2 + 6*x^3). - _Colin Barker_, Feb 06 2019

%e Some solutions for n=4:

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

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

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

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

%Y Column 2 of A277788.

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 31 2016

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Last modified December 6 09:20 EST 2023. Contains 367600 sequences. (Running on oeis4.)