A041103 Denominators of continued fraction convergents to sqrt(59).
1, 1, 3, 22, 47, 69, 1013, 1082, 3177, 23321, 49819, 73140, 1073779, 1146919, 3367617, 24720238, 52808093, 77528331, 1138204727, 1215733058, 3569670843, 26203428959, 55976528761, 82179957720
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 1060, 0, 0, 0, 0, 0, -1).
Programs
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Mathematica
Denominator[Convergents[Sqrt[59], 30]] (* Vincenzo Librandi, Oct 24 2013 *)
Formula
a(n) = 1060*a(n-6)-a(n-12). G.f.: -(x^10-x^9+3*x^8-22*x^7+47*x^6-69*x^5-47*x^4-22*x^3-3*x^2-x-1)/(x^12-1060*x^6+1). [Colin Barker, Jul 18 2012]