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R. H. Hardin, <a href="/A304539/b304539.txt">Table of n, a(n) for n = 1..210</a>

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Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.

3, 7, 9, 19, 37, 65, 129, 275, 555, 1143, 2417, 5101, 10937, 23873, 52511, 116647, 261813, 592025, 1347981, 3088537, 7111583, 16443119, 38153839, 88783305, 207079559, 483922933, 1132625887, 2654229335, 6226282429, 14617442181

1,1

Column 3 of A304544.

Empirical: a(n) = 3*a(n-1) -a(n-2) +2*a(n-3) -8*a(n-4) +2*a(n-5) -a(n-6) -a(n-7) -9*a(n-8) +3*a(n-9) +9*a(n-10) +8*a(n-11) +a(n-12) -3*a(n-13)

Some solutions for n=5

..0..0..0. .0..1..1. .0..0..1. .0..1..1. .0..1..1. .0..0..1. .0..0..0

..1..0..0. .1..1..1. .0..0..0. .1..1..1. .0..0..1. .0..1..1. .0..0..1

..1..1..0. .0..0..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1. .0..1..1

..0..0..0. .0..1..1. .0..0..0. .1..1..1. .1..0..0. .1..1..1. .1..1..1

..1..0..0. .1..1..1. .0..0..1. .1..1..0. .1..1..0. .0..1..1. .1..1..1

Cf. A304544.

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R. H. Hardin, May 14 2018

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