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

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,488,0,0,0,0,0,0,0,-1).

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

Mathematica

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

Crossrefs

Cf. A041247.

Sequence in context: A139114 A367556 A022101 * A042633 A197221 A093099

Adjacent sequences: A041243 A041244 A041245 * A041247 A041248 A041249

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved