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A042661

Denominators of continued fraction convergents to sqrt(860).

1, 3, 43, 132, 7699, 23229, 332905, 1021944, 59605657, 179838915, 2577350467, 7911890316, 461466988795, 1392312856701, 19953846982609, 61253853804528, 3572677367645233, 10779285956740227, 154482680762008411, 474227328242765460

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OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,7742,0,0,0,-1).

FORMULA

G.f.: -(x^2-3*x-1)*(x^4+44*x^2+1) / ((x^4-88*x^2+1)*(x^4+88*x^2+1)). - Colin Barker, Dec 20 2013

MATHEMATICA

Denominator[Convergents[Sqrt[860], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

LinearRecurrence[{0, 0, 0, 7742, 0, 0, 0, -1}, {1, 3, 43, 132, 7699, 23229, 332905, 1021944}, 40] (* Harvey P. Dale, May 11 2021 *)

CROSSREFS

Cf. A042660, A040829.

Sequence in context: A127930 A062647 A003525 * A281503 A030990 A306970

Adjacent sequences: A042658 A042659 A042660 * A042662 A042663 A042664

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Dec 20 2013

STATUS

approved

URL: https://oeis.org/A042661

⇱ A042661 - OEIS