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A276301
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Number of 4 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.
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1
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14, 31, 189, 1017, 5909, 33461, 191289, 1089941, 6217661, 35454545, 202199549, 1153097557, 6575970385, 37501690413, 213866533133, 1219647879417, 6955465873669, 39665957261253, 226208890949593, 1290034710761669
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OFFSET
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1,1
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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) = 4*a(n-1) + 10*a(n-2) - 6*a(n-4) - 22*a(n-5) + 15*a(n-6) for n>8.
Empirical g.f.: x*(14 - 25*x - 75*x^2 - 49*x^3 + 35*x^4 + 149*x^5 - 39*x^6 - 30*x^7) / ((1 - x)*(1 - 3*x - 13*x^2 - 13*x^3 - 7*x^4 + 15*x^5)). - Colin Barker, Feb 05 2019
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EXAMPLE
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Some solutions for n=4:
..0..1..0..2. .0..1..2..1. .0..1..0..1. .0..1..0..1. .0..1..0..1
..0..1..0..2. .2..1..2..1. .0..1..2..0. .2..1..2..1. .0..1..0..2
..2..1..0..1. .0..1..2..1. .0..1..2..1. .0..1..0..1. .0..2..0..1
..2..1..0..1. .2..0..2..0. .2..1..0..1. .0..1..2..1. .1..2..0..2
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CROSSREFS
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Row 4 of A276299.
Sequence in context: A156203 A338389 A196135 * A101183 A101444 A222414
Adjacent sequences: A276298 A276299 A276300 * A276302 A276303 A276304
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Aug 28 2016
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STATUS
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approved
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