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A318072
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Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
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1
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16, 42, 81, 149, 316, 854, 2195, 5752, 15565, 41364, 110930, 299210, 802420, 2158664, 5810654, 15618316, 42022876, 113058411, 304076748, 818075794, 2200737667, 5919964491, 15925927942, 42842509441, 115250505252, 310041060554
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OFFSET
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1,1
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COMMENTS
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Column 5 of A318075.
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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) -2*a(n-2) +8*a(n-3) -16*a(n-4) +16*a(n-5) -27*a(n-6) +15*a(n-7) -6*a(n-8) +4*a(n-9) -3*a(n-10) +29*a(n-11) -9*a(n-12) +17*a(n-13) -7*a(n-14) -11*a(n-15) -13*a(n-16) -7*a(n-17) +5*a(n-18) -7*a(n-19) +a(n-20) +11*a(n-21) -2*a(n-22) +2*a(n-23) +4*a(n-24) -4*a(n-25) +5*a(n-26) -5*a(n-27) -a(n-28) +a(n-29) for n>33
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EXAMPLE
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Some solutions for n=5
..0..1..1..1..1. .0..0..0..0..0. .0..0..0..1..0. .0..0..1..1..1
..1..1..1..1..1. .0..1..1..0..0. .0..0..1..1..0. .0..1..1..0..1
..1..0..0..1..1. .0..0..0..1..0. .0..1..1..1..0. .1..1..0..1..1
..1..1..1..1..1. .0..0..0..1..0. .1..1..1..1..0. .1..1..1..1..0
..1..1..1..1..0. .0..0..0..0..1. .1..1..1..1..0. .1..1..1..0..0
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CROSSREFS
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Cf. A318075.
Sequence in context: A228685 A317761 A318340 * A304954 A218067 A187729
Adjacent sequences: A318069 A318070 A318071 * A318073 A318074 A318075
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Aug 15 2018
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STATUS
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approved
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