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A300684
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Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
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1
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1, 10, 53, 272, 1391, 7187, 37100, 191529, 988754, 5104580, 26353052, 136051331, 702383958, 3626156187, 18720542075, 96647438007, 498956024752, 2575930831916, 13298606130275, 68655929293704, 354445915677949, 1829877017719215
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OFFSET
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1,2
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COMMENTS
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Column 3 of A300689.
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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) +3*a(n-2) -11*a(n-3) +a(n-4) -9*a(n-5) -3*a(n-6) +10*a(n-7) -2*a(n-8) -14*a(n-9) -8*a(n-10) -4*a(n-11) +8*a(n-13) +4*a(n-14) for n>15
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EXAMPLE
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Some solutions for n=5
..0..0..1. .0..1..0. .0..0..1. .0..1..1. .0..0..1. .0..1..1. .0..0..1
..1..1..1. .0..1..0. .0..1..1. .0..0..0. .1..0..1. .0..0..0. .0..0..1
..0..0..0. .0..0..1. .0..1..0. .1..1..1. .1..0..1. .1..1..0. .1..0..1
..0..1..1. .0..1..0. .1..0..1. .0..0..1. .0..1..0. .0..1..1. .1..0..1
..1..0..0. .1..0..0. .1..1..1. .1..1..1. .1..1..0. .0..0..0. .1..0..0
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CROSSREFS
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Cf. A300689.
Sequence in context: A063899 A006889 A300422 * A300607 A301349 A007035
Adjacent sequences: A300681 A300682 A300683 * A300685 A300686 A300687
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Mar 11 2018
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STATUS
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approved
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