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A300316
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Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
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1
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3, 4, 16, 61, 186, 977, 3875, 15976, 69695, 291860, 1231606, 5238686, 22132400, 93661059, 396772953, 1679005708, 7107319506, 30089549251, 127365200852, 539154160924, 2282345606777, 9661359675255, 40897805890885, 173126011417215
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OFFSET
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1,1
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COMMENTS
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Column 3 of A300321.
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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) +5*a(n-2) +14*a(n-3) -45*a(n-4) -51*a(n-5) -3*a(n-6) +122*a(n-7) +106*a(n-8) -48*a(n-9) -52*a(n-10) -18*a(n-11) +24*a(n-12) -75*a(n-13) -4*a(n-14) +30*a(n-15) for n>17
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EXAMPLE
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Some solutions for n=5
..0..1..1. .0..0..1. .0..1..0. .0..0..0. .0..1..0. .0..1..1. .0..1..0
..1..1..1. .0..0..1. .1..1..1. .0..0..0. .1..1..1. .0..1..1. .1..1..1
..0..1..1. .0..0..0. .1..1..1. .0..0..0. .1..1..0. .1..1..1. .1..0..1
..1..1..1. .1..0..0. .1..1..1. .1..1..1. .0..1..1. .1..0..0. .1..1..1
..0..1..0. .1..0..0. .1..1..0. .1..1..1. .0..1..1. .1..0..0. .1..1..0
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CROSSREFS
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Cf. A300321.
Sequence in context: A154736 A188114 A188116 * A329546 A057542 A353155
Adjacent sequences: A300313 A300314 A300315 * A300317 A300318 A300319
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Mar 02 2018
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STATUS
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approved
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