A041246 Numerators of continued fraction convergents to sqrt(135).

11, 12, 23, 35, 58, 93, 151, 244, 5519, 5763, 11282, 17045, 28327, 45372, 73699, 119071, 2693261, 2812332, 5505593, 8317925, 13823518, 22141443, 35964961, 58106404, 1314305849, 1372412253, 2686718102, 4059130355, 6745848457, 10804978812, 17550827269

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,488,0,0,0,0,0,0,0,-1).

Crossrefs

Cf. A041247.

Programs

Mathematica

Numerator[Convergents[Sqrt[135], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

Formula

G.f.: -(x^15 -11*x^14 +12*x^13 -23*x^12 +35*x^11 -58*x^10 +93*x^9 -151*x^8 -244*x^7 -151*x^6 -93*x^5 -58*x^4 -35*x^3 -23*x^2 -12*x -11) / (x^16 -488*x^8 +1). - Colin Barker, Nov 06 2013

Extensions

More terms from Colin Barker, Nov 06 2013