A042805 Denominators of continued fraction convergents to sqrt(933).

1, 1, 2, 11, 222, 1121, 1343, 2464, 149183, 151647, 300830, 1655797, 33416770, 168739647, 202156417, 370896064, 22455920257, 22826816321, 45282736578, 249240499211, 5030092720798, 25399704103201, 30429796823999, 55829500927200, 3380199852455999

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, 0, 0, 150526, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -x^13 +2*x^12 -11*x^11 +222*x^10 -1121*x^9 +1343*x^8 -2464*x^7 -1343*x^6 -1121*x^5 -222*x^4 -11*x^3 -2*x^2 -x -1) / (x^16 -150526*x^8 +1). - Colin Barker, Dec 23 2013

Mathematica

Denominator[Convergents[Sqrt[933], 30]] (* Vincenzo Librandi, Jan 29 2014 *)

Crossrefs

Cf. A042804, A040902.

Sequence in context: A104337 A283512 A214217 * A088639 A269710 A162385

Adjacent sequences: A042802 A042803 A042804 * A042806 A042807 A042808

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved