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A041616
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Numerators of continued fraction convergents to sqrt(327).
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2
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18, 217, 7830, 94177, 3398202, 40872601, 1474811838, 17738614657, 640064939490, 7698517888537, 277786708926822, 3341139025010401, 120558791609301258, 1450046638336625497, 52322237771727819150, 629316899899070455297, 22707730634138264209842
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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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MATHEMATICA
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Numerator[Convergents[Sqrt[327], 30]] (* or *) CoefficientList[Series[-(x^3 - 18 x^2 - 217 x - 18)/(x^4 - 434 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 05 2013 *)
LinearRecurrence[{0, 434, 0, -1}, {18, 217, 7830, 94177}, 20] (* Harvey P. Dale, Sep 10 2019 *)
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PROG
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(Magma) I:=[18, 217, 7830, 94177]; [n le 4 select I[n] else 434*Self(n-2)-Self(n-4): n in [1..20]]; // Vincenzo Librandi, Nov 05 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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EXTENSIONS
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STATUS
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approved
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