A042018 Numerators of continued fraction convergents to sqrt(533).

23, 254, 277, 531, 6118, 281959, 3107667, 3389626, 6497293, 74859849, 3450050347, 38025413666, 41475464013, 79500877679, 915985118482, 42214816327851, 465278964724843, 507493781052694, 972772745777537, 11207993984605601, 516540496037635183

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, 12236, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9-23*x^8+254*x^7-277*x^6+531*x^5+6118*x^4+531*x^3+277*x^2+254*x+23) / (x^10+12236*x^5-1). - Colin Barker, Nov 29 2013

Mathematica

Numerator[Convergents[Sqrt[533], 30]] (* Vincenzo Librandi, Nov 13 2013 *)

Crossrefs

Cf. A042019, A040509.

Sequence in context: A047648 A010939 A022618 * A125411 A140620 A002681

Adjacent sequences: A042015 A042016 A042017 * A042019 A042020 A042021

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 29 2013

Status

approved