A041118 Numerators of continued fraction convergents to sqrt(68).

8, 33, 536, 2177, 35368, 143649, 2333752, 9478657, 153992264, 625447713, 10161155672, 41270070401, 670482282088, 2723199198753, 44241669462136, 179689877047297, 2919279702218888, 11856808685922849, 192628218676984472, 782369683393860737, 12710543152978756264

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..100
• Index entries for linear recurrences with constant coefficients, signature (0,66,0,-1).

Crossrefs

Cf. A010520, A041119.

Programs

Mathematica

Numerator[Convergents[Sqrt[68],30]] (* Harvey P. Dale, Aug 12 2012 *)

Formula

G.f.: -(x^3-8*x^2-33*x-8) / ((x^2-8*x-1)*(x^2+8*x-1)). - Colin Barker, Nov 05 2013

Extensions

More terms from Colin Barker, Nov 05 2013