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A297370
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Number of n X 4 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0, 1 or 2 neighboring 1's.
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1
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16, 208, 2610, 33054, 418344, 5294713, 67012245, 848136217, 10734382366, 135859031714, 1719491243863, 21762632197104, 275437378257814, 3486055760828284, 44121044298605071, 558415207201660600
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical: a(n) = 13*a(n-1) - 4*a(n-2) - 3*a(n-3) - 19*a(n-4) + 15*a(n-5) - a(n-6).
Empirical g.f.: x*(16 - 30*x^2 + 4*x^3 + 10*x^4 - x^5) / ((1 - x)*(1 - 12*x - 8*x^2 - 5*x^3 + 14*x^4 - x^5)). - Colin Barker, Feb 27 2019
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EXAMPLE
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Some solutions for n=5:
..0..0..0..1. .0..0..0..0. .0..0..0..0. .0..0..0..1. .0..0..0..1
..1..0..1..0. .0..1..1..0. .1..1..0..1. .1..1..0..0. .0..0..1..0
..0..1..0..1. .1..1..0..1. .0..0..1..0. .0..1..1..1. .0..1..1..0
..0..0..0..0. .0..0..1..0. .1..0..0..1. .0..0..1..0. .0..1..1..0
..1..0..1..1. .0..0..1..1. .0..1..0..0. .0..1..0..0. .0..0..0..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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