A042860 Numerators of continued fraction convergents to sqrt(962).

31, 1923, 119257, 7395857, 458662391, 28444464099, 1764015436529, 109397401528897, 6784402910228143, 420742377835673763, 26092811828722001449, 1618175075758599763601, 100352947508861907344711, 6223500920625196855135683, 385957410026271066925757057

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (62, 1).

Formula

From Philippe Deléham, Nov 23 2008: (Start)

a(n) = 62*a(n-1) + a(n-2), n > 1; a(0)=31, a(1)=1923.

G.f.: (31+x)/(1-62*x-x^2). (End)

Mathematica

Numerator[Convergents[Sqrt[962], 30]] (* Vincenzo Librandi, Dec 08 2013 *)

Crossrefs

Cf. A042861, A040930.

Sequence in context: A055629 A131751 A042863 * A184488 A218352 A297549

Adjacent sequences: A042857 A042858 A042859 * A042861 A042862 A042863

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

Additional term from Colin Barker, Dec 25 2013

Status

approved