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A041499
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Denominators of continued fraction convergents to sqrt(266).
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2
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1, 3, 13, 42, 1357, 4113, 17809, 57540, 1859089, 5634807, 24398317, 78829758, 2546950573, 7719681477, 33425676481, 107996710920, 3489320425921, 10575957988683, 45793152380653, 147955415130642, 4780366436561197, 14489054724814233, 62736585335818129
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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.: -(x^2-3*x-1)*(x^4+14*x^2+1) / (x^8-1370*x^4+1). - Colin Barker, Nov 18 2013
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MATHEMATICA
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Denominator/@Convergents[Sqrt[266], 20] (* Harvey P. Dale, Apr 11 2011 *)
CoefficientList[Series[(1 + 3 x - x^2) (x^4 + 14 x^2 + 1)/(x^8 - 1370 x^4 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 19 2013 *)
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PROG
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(Magma) I:=[1, 3, 13, 42, 1357, 4113, 17809, 57540]; [n le 8 select I[n] else 1370*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Dec 19 2013
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CROSSREFS
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KEYWORD
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nonn,frac,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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