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A097949
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G.f.: -(2+7*x-x^3)/(1+4*x-4*x^3-x^4).
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2
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-2, 1, -4, 9, -34, 121, -452, 1681, -6274, 23409, -87364, 326041, -1216802, 4541161, -16947844, 63250209, -236052994, 880961761, -3287794052, 12270214441, -45793063714, 170902040409, -637815097924, 2380358351281, -8883618307202, 33154114877521, -123732841202884
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OFFSET
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0,1
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COMMENTS
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This is the sequence "ves(n)".
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LINKS
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FORMULA
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a(n) = -(-1)^n - (1/6)*( ( -sqrt(3) - 2 )^n + ( sqrt(3) - 2 )^n ) - 2/3. - Eric Simon Jacob, Aug 18 2023
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MATHEMATICA
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CoefficientList[Series[-(2+7x-x^3)/(1+4x-4x^3-x^4), {x, 0, 40}], x] (* or *) LinearRecurrence[{-4, 0, 4, 1}, {-2, 1, -4, 9}, 40] (* Harvey P. Dale, Aug 11 2021 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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