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A316920
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Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.
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1
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3, 9, 13, 31, 81, 184, 492, 1457, 4371, 13738, 44698, 147992, 497182, 1687343, 5760403, 19745581, 67869355, 233664175, 805343315, 2777680268, 9584619952, 33081967287, 114206172731, 394310805436, 1361508413616, 4701358974926
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OFFSET
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1,1
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COMMENTS
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Column 3 of A316925.
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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) = 5*a(n-1) -6*a(n-2) +14*a(n-3) -52*a(n-4) +39*a(n-5) -20*a(n-6) +84*a(n-7) -17*a(n-8) -6*a(n-9) -7*a(n-10) -50*a(n-11) -16*a(n-12) -47*a(n-13) +144*a(n-14) -64*a(n-15) -12*a(n-16) +8*a(n-17) for n>19
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EXAMPLE
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Some solutions for n=5
..0..1..1. .0..0..0. .0..1..1. .0..0..1. .0..1..1. .0..0..0. .0..0..0
..1..1..1. .0..0..0. .0..0..1. .0..0..0. .1..1..1. .0..0..0. .0..1..0
..1..1..1. .1..0..0. .1..1..1. .0..0..0. .0..0..1. .0..0..1. .1..1..1
..1..1..1. .0..0..0. .0..0..0. .0..0..1. .1..1..1. .0..0..0. .0..0..0
..1..0..1. .0..0..0. .0..1..0. .0..0..0. .0..1..1. .0..0..0. .0..1..0
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CROSSREFS
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Cf. A316925.
Sequence in context: A304664 A068885 A305644 * A018292 A089147 A094043
Adjacent sequences: A316917 A316918 A316919 * A316921 A316922 A316923
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jul 16 2018
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STATUS
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approved
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