A042729 Denominators of continued fraction convergents to sqrt(894).

1, 1, 9, 10, 589, 599, 5381, 5980, 352221, 358201, 3217829, 3576030, 210627569, 214203599, 1924256361, 2138459960, 125954934041, 128093394001, 1150702086049, 1278795480050, 75320839928949, 76599635408999, 688117923200941, 764717558609940

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, 598, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+10*x^2+1) / (x^8-598*x^4+1). - Colin Barker, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[894], 30]] (* Vincenzo Librandi, Jan 27 2014 *)

Crossrefs

Cf. A042728, A040864.

Sequence in context: A103869 A041753 A042191 * A156292 A119205 A119207

Adjacent sequences: A042726 A042727 A042728 * A042730 A042731 A042732

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 22 2013

Status

approved