A042055 Denominators of continued fraction convergents to sqrt(551).

1, 2, 17, 19, 169, 357, 16591, 33539, 284903, 318442, 2832439, 5983320, 278065159, 562113638, 4774974263, 5337087901, 47471677471, 100280442843, 4660372048249, 9421024539341, 80028568362977, 89449592902318, 795625311581521, 1680700216065360

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, 16760, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^10-2*x^9+17*x^8-19*x^7+169*x^6-357*x^5-169*x^4-19*x^3-17*x^2-2*x-1) / (x^12-16760*x^6+1). - Colin Barker, Nov 30 2013

a(n) = 16760*a(n-6) - a(n-12). - Wesley Ivan Hurt, Sep 05 2022

Mathematica

Denominator[Convergents[Sqrt[551], 30]] (* Vincenzo Librandi, Jan 13 2014 *)

Crossrefs

Cf. A042054, A040527.

Sequence in context: A040138 A240475 A107139 * A075683 A340044 A309055

Adjacent sequences: A042052 A042053 A042054 * A042056 A042057 A042058

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 30 2013

Status

approved