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A041478
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Numerators of continued fraction convergents to sqrt(255).
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2
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15, 16, 495, 511, 15825, 16336, 505905, 522241, 16173135, 16695376, 517034415, 533729791, 16528928145, 17062657936, 528408666225, 545471324161, 16892548391055, 17438019715216, 540033139847535
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 32*a(n-2)-a(n-4). G.f.: -(x^3-15*x^2-16*x-15)/(x^4-32*x^2+1). [Colin Barker, Jul 16 2012]
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MATHEMATICA
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Numerator[Convergents[Sqrt[255], 50]] (* Harvey P. Dale, Jun 20 2012 *)
CoefficientList[Series[- (x^3 - 15 x^2 - 16 x - 15)/(x^4 - 32 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 27 2013 *)
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CROSSREFS
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KEYWORD
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nonn,cofr,frac,easy
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AUTHOR
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STATUS
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approved
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