A042884 Numerators of continued fraction convergents to sqrt(974).

31, 125, 156, 593, 749, 1342, 2091, 24343, 26434, 156513, 495973, 4124297, 4620270, 8744567, 13364837, 22109404, 676646957, 698756361, 1375403318, 2074159679, 3449562997, 29670663655, 92461553962

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, 977651490470430, 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) = 977651490470430*a(n-32) - a(n-64) for n > 63. [Bruno Berselli, Dec 08 2013]

Mathematica

Numerator[Convergents[Sqrt[974], 30]] (* Harvey P. Dale, Jun 25 2013 *)

Crossrefs

Cf. A042885.

Sequence in context: A038992 A068021 A131992 * A153073 A042886 A042888

Adjacent sequences: A042881 A042882 A042883 * A042885 A042886 A042887

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Status

approved