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A300422
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Number of nX3 0..1 arrays with every element equal to 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
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1
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1, 10, 53, 272, 1390, 7179, 37042, 191135, 986243, 5089160, 26260738, 135509178, 699246723, 3608214131, 18618905868, 96076245152, 495767309402, 2558230969852, 13200841543223, 68118250289325, 351500016661296, 1813790888521066
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OFFSET
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1,2
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COMMENTS
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Column 3 of A300427.
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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) -11*a(n-5) -2*a(n-6) +14*a(n-7) -6*a(n-8) -8*a(n-9) -4*a(n-10) -8*a(n-11) +4*a(n-13) for n>14
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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..0..1. .0..0..0. .0..0..1
..0..1..0. .1..1..0. .0..1..0. .0..1..0. .0..1..1. .1..0..0. .1..1..1
..1..0..1. .1..0..0. .0..0..1. .1..0..1. .1..0..1. .1..1..0. .0..0..0
..0..0..1. .1..1..1. .1..0..1. .0..1..1. .0..1..0. .0..1..0. .0..1..1
..1..1..1. .1..0..0. .1..0..1. .0..0..1. .1..0..0. .0..1..1. .1..0..0
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CROSSREFS
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Cf. A300427.
Sequence in context: A298564 A063899 A006889 * A300684 A300607 A301349
Adjacent sequences: A300419 A300420 A300421 * A300423 A300424 A300425
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Mar 05 2018
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STATUS
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approved
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