A042128 Numerators of continued fraction convergents to sqrt(589).

24, 73, 97, 267, 631, 9732, 10363, 40821, 377752, 796325, 3563052, 4359377, 51516199, 158907974, 1004964043, 1163872017, 2168836060, 3332708077, 5501544137, 19837340488, 45176225113, 155366015827

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82846332134072437502, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 82846332134072437502*a(n-40) - a(n-80) for n>79. [Bruno Berselli, Nov 17 2013]

Mathematica

Numerator[Convergents[Sqrt[589], 30]] (* Vincenzo Librandi, Nov 17 2013 *)

Crossrefs

Cf. A042129.

Sequence in context: A189540 A329077 A339883 * A043406 A044162 A044543

Adjacent sequences: A042125 A042126 A042127 * A042129 A042130 A042131

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved