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A042129
Denominators of continued fraction convergents to sqrt(589).
2
1, 3, 4, 11, 26, 401, 427, 1682, 15565, 32812, 146813, 179625, 2122688, 6547689, 41408822, 47956511, 89365333, 137321844, 226687177, 817383375, 1861453927, 6401745156, 8263199083, 14664944239, 22928143322, 37593087561, 248486668688, 783053093625, 8862070698563
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82846332134072437502, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
a(n) = 82846332134072437502*a(n-40) - a(n-80) for n>79. - Vincenzo Librandi, Jan 15 2014
MATHEMATICA
Denominator[Convergents[Sqrt[589], 30]] (* Vincenzo Librandi, Jan 15 2014 *)
CROSSREFS
Cf. A042128.
Sequence in context: A208176 A198443 A041231 * A141723 A268478 A180363
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Jan 15 2014
STATUS
approved