A041429 Denominators of continued fraction convergents to sqrt(230).
1, 6, 181, 1092, 32941, 198738, 5995081, 36169224, 1091071801, 6582600030, 198569072701, 1197997036236, 36138480159781, 218028877994922, 6577004820007441, 39680057798039568, 1196978738761194481, 7221552490365206454, 217843553449717388101
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (0, 182, 0, -1).
Programs
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Magma
I:=[1,6,181,1092]; [n le 4 select I[n] else 182*Self(n-2)-Self(n-4): n in [1..100]]; // Vincenzo Librandi, Dec 17 2013
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Mathematica
Denominator[Convergents[Sqrt[230], 30]] (* Vincenzo Librandi, Dec 17 2013 *)
Formula
G.f.: -(x^2-6*x-1) / (x^4-182*x^2+1). - Colin Barker, Nov 17 2013
a(n) = 182*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 17 2013
Extensions
More terms from Colin Barker, Nov 17 2013