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A243602
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Number of length n+2 0..5 arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..5 introduced in 0..5 order.
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1
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4, 10, 29, 97, 365, 1511, 6726, 31544, 153328, 763187, 3857651, 19692114, 101153422, 521664456, 2697067469, 13966320059, 72395025823, 375501794607, 1948456098176, 10113010271486, 52497770870256, 272549948856853, 1415076190551061
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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) = 12*a(n-1) - 48*a(n-2) + 65*a(n-3) + 18*a(n-4) - 74*a(n-5) - 9*a(n-6) + 26*a(n-7) + 10*a(n-8) + a(n-9).
Empirical g.f.: x*(4 - 38*x + 101*x^2 - 31*x^3 - 129*x^4 + 18*x^5 + 63*x^6 + 21*x^7 + 2*x^8) / ((1 - x)*(1 - x - x^2)*(1 - 2*x - x^2)*(1 - 3*x - x^2)*(1 - 5*x - x^2)). - Colin Barker, Nov 02 2018
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EXAMPLE
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Some solutions for n=5:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....1....0....1....1....0....1....0....1....1....1....1....1
..1....2....1....1....2....0....2....1....1....1....1....1....2....1....2....2
..1....2....2....2....0....1....3....0....1....2....2....1....0....0....3....2
..1....3....0....3....0....2....4....2....2....0....2....1....1....2....1....2
..2....3....3....4....0....2....4....1....3....3....3....0....1....2....1....0
..2....1....2....2....2....2....1....3....1....1....0....0....0....2....1....3
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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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