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R. H. Hardin, <a href="/A275563/b275563.txt">Table of n, a(n) for n = 1..210</a>

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Number of nX6 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2.

24, 864, 1536, 8664, 42336, 221184, 1140576, 5880600, 30456054, 157347846, 813636150, 4208095734, 21755077350, 112508808576, 581748762966, 3008229730656, 15555575422296, 80436769367064, 415938351877254

1,1

Column 6 of A275565.

Empirical: a(n) = 4*a(n-1) +18*a(n-2) -43*a(n-3) -174*a(n-4) +312*a(n-5) +789*a(n-6) -1739*a(n-7) -1097*a(n-8) +5171*a(n-9) -1998*a(n-10) -9410*a(n-11) +11413*a(n-12) +12083*a(n-13) -26002*a(n-14) -10656*a(n-15) +37255*a(n-16) +8019*a(n-17) -36716*a(n-18) -8772*a(n-19) +28058*a(n-20) +9837*a(n-21) -18944*a(n-22) -7243*a(n-23) +11224*a(n-24) +2985*a(n-25) -5229*a(n-26) -484*a(n-27) +1725*a(n-28) -126*a(n-29) -363*a(n-30) +74*a(n-31) +45*a(n-32) -13*a(n-33) -3*a(n-34) +a(n-35) for n>37

Some solutions for n=4

..0..1..1..2..0..0. .0..1..1..0..2..1. .0..0..1..2..2..0. .0..1..2..2..1..1

..0..0..1..1..2..0. .2..1..0..2..1..1. .2..0..1..1..2..2. .0..0..2..2..1..0

..2..2..0..1..2..2. .1..0..2..2..0..0. .2..2..0..0..1..1. .1..0..0..1..2..2

..2..2..0..0..1..2. .1..0..2..1..0..2. .1..2..2..0..0..1. .2..2..1..0..2..2

Cf. A275565.

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R. H. Hardin, Aug 01 2016

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