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A108781
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Expansion of sqrt((1-x+8*x^2)/(1-x)^3).
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1
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1, 1, 5, 9, 5, -7, 5, 73, 69, -295, -571, 1321, 4613, -4167, -32635, -1783, 211141, 200601, -1229243, -2468375, 6117509, 22557305, -21519611, -176980023, -13664955, 1234115673, 1250908869, -7608051031, -16094268667, 39424807225, 153179607429, -139981878647, -1243776268859
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OFFSET
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0,3
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LINKS
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FORMULA
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D-finite with recurrence: n*a(n) +(-2*n+1)*a(n-1) +(9*n-25)*a(n-2) +4*(-2*n+5)*a(n-3)=0. - R. J. Mathar, Jan 24 2020
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MATHEMATICA
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CoefficientList[Series[Sqrt[(1-x+8x^2)/(1-x)^3], {x, 0, 50}], x] (* Harvey P. Dale, Dec 24 2018 *)
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PROG
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(Magma) m:=40; R<x>:=PowerSeriesRing(Rationals(), m); Coefficients(R!(Sqrt((1-x+8*x^2)/(1-x)^3))); // Vincenzo Librandi, Jan 25 2020
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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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