A042251 Denominators of continued fraction convergents to sqrt(651).

1, 1, 2, 33, 35, 68, 3435, 3503, 6938, 114511, 121449, 235960, 11919449, 12155409, 24074858, 397353137, 421427995, 818781132, 41360484595, 42179265727, 83539750322, 1378815270879, 1462355021201, 2841170292080, 143520869625201, 146362039917281

Offset

0,3

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, 3470, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^4 - x^3 + 2*x^2 + x + 1)*(x^6 - 34*x^3 - 1) / (x^12 - 3470*x^6 + 1). - Colin Barker, Dec 05 2013

Mathematica

Denominator[Convergents[Sqrt[651], 30]] (* Vincenzo Librandi, Jan 18 2014 *)

Crossrefs

Cf. A042250, A040625.

Sequence in context: A305485 A078732 A305085 * A316736 A199551 A045932

Adjacent sequences: A042248 A042249 A042250 * A042252 A042253 A042254

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 05 2013

Status

approved