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A041103
Denominators of continued fraction convergents to sqrt(59).
2
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
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 1060, 0, 0, 0, 0, 0, -1).
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]
MATHEMATICA
Denominator[Convergents[Sqrt[59], 30]] (* Vincenzo Librandi, Oct 24 2013 *)
CROSSREFS
Sequence in context: A209987 A332095 A337371 * A225414 A187694 A104604
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved