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A299847
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Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
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1
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4, 26, 93, 357, 1401, 5533, 21764, 85620, 336966, 1326498, 5221450, 20553311, 80905473, 318477196, 1253655191, 4934896919, 19425767155, 76467769656, 301008432722, 1184892401453, 4664221539453, 18360285559608, 72273600906104
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OFFSET
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1,1
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COMMENTS
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Column 3 of A299852.
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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) = 6*a(n-1) -9*a(n-2) +3*a(n-3) +7*a(n-4) -31*a(n-5) +52*a(n-6) -51*a(n-7) +53*a(n-8) -100*a(n-9) +53*a(n-10) +65*a(n-11) +7*a(n-12) -48*a(n-13) -26*a(n-14) +18*a(n-15) +12*a(n-16) for n>18
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EXAMPLE
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Some solutions for n=5
..0..1..0. .0..0..0. .0..0..1. .0..0..0. .0..1..0. .0..1..0. .0..1..1
..1..0..0. .0..1..1. .1..1..0. .0..0..0. .1..0..0. .0..0..1. .0..0..1
..0..0..1. .0..1..0. .1..0..0. .0..0..0. .0..0..1. .1..0..0. .1..1..0
..1..1..1. .0..1..0. .1..0..1. .1..1..1. .0..1..0. .0..1..0. .1..1..1
..0..0..0. .1..1..0. .0..0..0. .0..1..0. .0..1..0. .1..1..0. .0..0..1
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CROSSREFS
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Cf. A299852.
Sequence in context: A299084 A245457 A299340 * A118285 A101166 A299003
Adjacent sequences: A299844 A299845 A299846 * A299848 A299849 A299850
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Feb 20 2018
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STATUS
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approved
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