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A130784
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Period 3: repeat [1, 3, 2].
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9
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1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = 3*a(n-1)^2/2 - 13*a(n-1)/2 + 8.
O.g.f.: (1+z)*(1+2*z)/(1-z^3).
E.g.f.: 2*exp(z) - 2/sqrt(3)*exp(-z/2)*cos(sqrt(3)*z/2+Pi/6). (End)
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MAPLE
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MATHEMATICA
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CoefficientList[Series[(1 + 3 x + 2 x^2)/(1 - x^3), {x, 0, 120}], x] (* Michael De Vlieger, Jul 02 2016 *)
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PROG
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(Magma) [(n mod 3) + ((n+1) mod 3) : n in [0..100]]; // Wesley Ivan Hurt, Jul 08 2014
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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