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A300467
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Number of nX3 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
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1
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4, 29, 160, 925, 5363, 31106, 180397, 1046223, 6067629, 35189573, 204083997, 1183597158, 6864341406, 39810152164, 230881321531, 1339009818730, 7765666285883, 45037438874738, 261197278600938, 1514828996788371
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OFFSET
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1,1
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COMMENTS
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Column 3 of A300472.
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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) -a(n-2) -a(n-3) +a(n-4) -4*a(n-5) +a(n-6) -a(n-7)
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EXAMPLE
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Some solutions for n=5
..0..0..0. .0..1..1. .0..0..1. .0..1..0. .0..0..0. .0..0..1. .0..1..0
..1..1..1. .1..0..1. .0..1..1. .1..1..0. .1..1..0. .0..0..1. .0..1..1
..0..0..0. .0..1..0. .0..0..0. .0..0..1. .1..1..0. .1..1..0. .0..0..1
..1..1..1. .0..0..1. .0..1..0. .1..0..1. .0..0..1. .0..1..0. .0..0..0
..1..0..1. .0..1..1. .0..1..1. .0..1..0. .1..0..1. .1..0..1. .1..1..1
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CROSSREFS
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Cf. A300472.
Sequence in context: A302260 A302960 A273300 * A326100 A273209 A273271
Adjacent sequences: A300464 A300465 A300466 * A300468 A300469 A300470
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Mar 06 2018
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STATUS
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approved
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