A041562 Numerators of continued fraction convergents to sqrt(299).

17, 52, 121, 415, 14231, 43108, 100447, 344449, 11811713, 35779588, 83370889, 285892255, 9803707559, 29697014932, 69197737423, 237290227201, 8137065462257, 24648486613972, 57434038690201, 196950602684575, 6753754529965751, 20458214192581828

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, 830, 0, 0, 0, -1).

Formula

G.f.: -(x^7-17*x^6+52*x^5-121*x^4-415*x^3-121*x^2-52*x-17) / (x^8-830*x^4+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[299], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Crossrefs

Cf. A041563.

Sequence in context: A078757 A041560 A195666 * A113915 A042295 A041564

Adjacent sequences: A041559 A041560 A041561 * A041563 A041564 A041565

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved