A042186 Numerators of continued fraction convergents to sqrt(618).

24, 25, 174, 1417, 8676, 10093, 493140, 503233, 3512538, 28603537, 175133760, 203737297, 9954524016, 10158261313, 70904091894, 577390996465, 3535250070684, 4112641067149, 200942021293836, 205054662360985, 1431269995459746, 11655214626038953

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, 0, 0, 20186, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11-24*x^10+25*x^9-174*x^8+1417*x^7-8676*x^6-10093*x^5-8676*x^4-1417*x^3-174*x^2-25*x-24) / (x^12-20186*x^6+1). - Colin Barker, Dec 03 2013

Mathematica

Numerator/@Convergents[Sqrt[618], 30] (* Harvey P. Dale, Jul 25 2011 *)

Crossrefs

Cf. A042187, A040593.

Sequence in context: A042176 A042182 A042184 * A042188 A042190 A042192

Adjacent sequences: A042183 A042184 A042185 * A042187 A042188 A042189

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 03 2013

Status

approved