A042209 Denominators of continued fraction convergents to sqrt(630).
1, 10, 501, 5020, 251501, 2520030, 126253001, 1265050040, 63378755001, 635052600050, 31816008757501, 318795140175060, 15971573017510501, 160034525315280070, 8017697838781514001, 80337012913130420080, 4024868343495302518001, 40329020447866155600090
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (0,502,0,-1).
Programs
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Mathematica
Denominator[Convergents[Sqrt[630], 30]] (* Vincenzo Librandi, Jan 16 2014 *) LinearRecurrence[{0,502,0,-1},{1,10,501,5020},20] (* Harvey P. Dale, Sep 06 2021 *)
Formula
G.f.: -(x^2 - 10*x - 1) / (x^4 - 502*x^2 + 1). - Colin Barker, Dec 04 2013
Extensions
More terms from Colin Barker, Dec 04 2013