A041606 Numerators of continued fraction convergents to sqrt(321).

17, 18, 197, 215, 7507, 7722, 84727, 92449, 3227993, 3320442, 36432413, 39752855, 1388029483, 1427782338, 15665852863, 17093635201, 596849449697, 613943084898, 6736280298677, 7350223383575, 256643875340227, 263994098723802, 2896584862578247, 3160578961302049

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, 430, 0, 0, 0, -1).

Formula

G.f.: -(x^7-17*x^6+18*x^5-197*x^4-215*x^3-197*x^2-18*x-17) / (x^8-430*x^4+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[321], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0, 0, 0, 430, 0, 0, 0, -1}, {17, 18, 197, 215, 7507, 7722, 84727, 92449}, 30] (* Harvey P. Dale, Aug 12 2017 *)

Crossrefs

Cf. A041607.

Sequence in context: A344138 A041602 A041604 * A140142 A197351 A041143

Adjacent sequences: A041603 A041604 A041605 * A041607 A041608 A041609

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved