A042519 Denominators of continued fraction convergents to sqrt(788).

1, 14, 785, 11004, 617009, 8649130, 484968289, 6798205176, 381184458145, 5343380619206, 299610499133681, 4199890368490740, 235493471134615121, 3301108486253102434, 185097568701308351425, 2594667070304570022384, 145486453505757229604929

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, 786, 0, -1).

Formula

G.f.: -(x^2-14*x-1) / ((x^2-28*x-1)*(x^2+28*x-1)). - Colin Barker, Dec 17 2013

Mathematica

Denominator[Convergents[Sqrt[788], 30]] (* Vincenzo Librandi, Jan 23 2014 *)
LinearRecurrence[{0, 786, 0, -1}, {1, 14, 785, 11004}, 20] (* Harvey P. Dale, Sep 26 2016 *)

Crossrefs

Cf. A042518, A040759.

Sequence in context: A232158 A208254 A210817 * A050983 A360612 A183576

Adjacent sequences: A042516 A042517 A042518 * A042520 A042521 A042522

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

Additional term from Colin Barker, Dec 17 2013

Status

approved