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A224692
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Expansion of (1+5*x+7*x^2-x^3)/((1-2*x^2)*(1-x)*(1+x)).
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0
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1, 5, 10, 14, 28, 32, 64, 68, 136, 140, 280, 284, 568, 572, 1144, 1148, 2296, 2300, 4600, 4604, 9208, 9212, 18424, 18428, 36856, 36860, 73720, 73724, 147448, 147452, 294904, 294908, 589816, 589820, 1179640, 1179644, 2359288, 2359292, 4718584, 4718588, 9437176
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: (1+5*x+7*x^2-x^3)/((1-x)*(1+x)*(1-2*x^2)).
a(n) = a(n-1)+4 if n odd.
a(n) = a(n-1)*2 if n even.
a(2n+1) = 9*2^n - 4 = A053209(n+1).
a(n) = 3*a(n-2) - 2*a(n-4) with n>3, a(0)=1, a(1)=5, a(2)=10, a(3)=14.
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MATHEMATICA
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CoefficientList[Series[(1+5x+7x^2-x^3)/((1-2x^2)(1-x)(1+x)), {x, 0, 40}], x] (* or *) LinearRecurrence[{0, 3, 0, -2}, {1, 5, 10, 14}, 50] (* Harvey P. Dale, Sep 17 2016 *)
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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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