A042888 Numerators of continued fraction convergents to sqrt(976).

31, 125, 781, 906, 2593, 8685, 11278, 53797, 118872, 410413, 939698, 4169205, 5108903, 19495914, 44100731, 63596645, 425680601, 1766319049, 109937461639, 441516165605, 2759034455269, 3200550620874

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3532638098, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 3532638098*a(n-18) - a(n-36) for n > 35. [Bruno Berselli, Dec 08 2013]

Mathematica

Numerator[Convergents[Sqrt[976], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

Crossrefs

Cf. A042889.

Sequence in context: A042884 A153073 A042886 * A183836 A078656 A095322

Adjacent sequences: A042885 A042886 A042887 * A042889 A042890 A042891

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Status

approved