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

Author

N. J. A. Sloane

Keywords

• nonn
• frac
• easy

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).

Crossrefs

Cf. A042861, A040930.

Programs

Mathematica

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

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)

Extensions

Additional term from Colin Barker, Dec 25 2013