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A299516
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Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
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1
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1, 1, 12, 5, 33, 55, 132, 272, 630, 1355, 3010, 6661, 14688, 32563, 71941, 159408, 352601, 781046, 1728906, 3829080, 8478988, 18778735, 41589469, 92113712, 204020792, 451891357, 1000927728, 2217056520, 4910855519, 10877806629
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OFFSET
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1,3
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COMMENTS
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Column 3 of A299521.
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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) = 3*a(n-1) +a(n-2) -6*a(n-3) -a(n-4) +2*a(n-6) +4*a(n-7) -a(n-8) +8*a(n-9) -3*a(n-10) -a(n-11) -a(n-12) for n>13
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EXAMPLE
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Some solutions for n=5
..0..0..1. .0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..1..0
..0..0..0. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .1..1..1
..1..0..1. .0..1..0. .0..0..0. .1..0..1. .1..0..1. .0..0..0. .1..1..1
..0..0..0. .1..1..1. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .1..1..1
..0..0..1. .1..1..0. .1..1..1. .1..0..0. .0..0..1. .0..0..0. .0..1..0
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CROSSREFS
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Cf. A299521.
Sequence in context: A205141 A122561 A110185 * A278423 A278661 A280614
Adjacent sequences: A299513 A299514 A299515 * A299517 A299518 A299519
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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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