A041608 Numerators of continued fraction convergents to sqrt(322).

17, 18, 305, 323, 11287, 11610, 197047, 208657, 7291385, 7500042, 127292057, 134792099, 4710223423, 4845015522, 82230471775, 87075487297, 3042797039873, 3129872527170, 53120757474593, 56250630001763, 1965642177534535, 2021892807536298, 34315927098115303

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,646,0,0,0,-1).

Formula

G.f.: -(x^7-17*x^6+18*x^5-305*x^4-323*x^3-305*x^2-18*x-17) / (x^8-646*x^4+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[322], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0, 0, 0, 646, 0, 0, 0, -1}, {17, 18, 305, 323, 11287, 11610, 197047, 208657}, 30] (* Harvey P. Dale, Dec 24 2018 *)

Crossrefs

Cf. A041609.

Sequence in context: A140142 A197351 A041143 * A041609 A041610 A042399

Adjacent sequences: A041605 A041606 A041607 * A041609 A041610 A041611

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved