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A299523
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Number of n X 3 0..1 arrays with every element equal to 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
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1
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0, 4, 1, 12, 35, 60, 269, 873, 1985, 7571, 24138, 65389, 225530, 714174, 2097771, 6892581, 21742964, 66279272, 212788613, 670024373, 2077242857, 6596234246, 20753371856, 64838337595, 204829582459, 644229872136, 2019822965143
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OFFSET
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1,2
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COMMENTS
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Column 3 of A299528.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 2*a(n-1) +3*a(n-2) +18*a(n-3) -36*a(n-4) -45*a(n-5) -51*a(n-6) +111*a(n-7) +88*a(n-8) +94*a(n-9) +61*a(n-10) -89*a(n-11) -143*a(n-12) -109*a(n-13) +52*a(n-14) +11*a(n-15) -7*a(n-16) +3*a(n-17) for n>18.
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EXAMPLE
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Some solutions for n=5
..0..1..0. .0..1..1. .0..0..0. .0..1..0. .0..0..0. .0..1..0. .0..1..0
..0..1..0. .0..1..1. .0..0..0. .0..1..0. .0..0..0. .0..1..0. .0..1..0
..0..0..0. .1..1..1. .0..0..0. .0..0..0. .0..1..1. .1..1..1. .0..0..0
..1..0..1. .0..1..1. .0..1..1. .0..1..0. .0..0..0. .1..0..1. .1..0..0
..1..0..1. .0..1..1. .0..1..1. .0..1..0. .0..0..0. .1..0..1. .1..0..0
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CROSSREFS
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Cf. A299528.
Sequence in context: A019236 A019237 A019238 * A157404 A135704 A002564
Adjacent sequences: A299520 A299521 A299522 * A299524 A299525 A299526
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Feb 11 2018
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STATUS
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approved
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