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a(n) = lucaslA005248(2*n) - 2*n - 1.
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Colin Barker, <a href="/A294152/b294152.txt">Table of n, a(n) for n = 1..1000</a>
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CoefficientList[Series[(x (2 + x - x^2))/((-1 + x)^2 (1 - 3 x + x^2)), {x, 0, 20}], x]
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