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A278009 Number of nX3 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. 1

%I #4 Nov 08 2016 12:26:18

%S 0,28,410,7204,121826,2072344,35217368,598579468,10173619772,

%T 172914342028,2938909630526,49950690508336,848978618084774,

%U 14429524172090140,245249012515926980,4168334134059809248

%N Number of nX3 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.

%C Column 3 of A278014.

%H R. H. Hardin, <a href="/A278009/b278009.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) +19*a(n-2) -38*a(n-3) +57*a(n-4) -146*a(n-5) +201*a(n-6) -264*a(n-7) -36*a(n-8) +144*a(n-9)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A278014.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 08 2016

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)