A042129 Denominators of continued fraction convergents to sqrt(589).

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

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, 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

Adjacent sequences: A042126 A042127 A042128 * A042130 A042131 A042132

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 15 2014

Status

approved