A041248 Numerators of continued fraction convergents to sqrt(136).

11, 12, 23, 35, 793, 828, 1621, 2449, 55499, 57948, 113447, 171395, 3884137, 4055532, 7939669, 11995201, 271834091, 283829292, 555663383, 839492675, 19024502233, 19863994908, 38888497141, 58752492049, 1331443322219, 1390195814268, 2721639136487

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,70,0,0,0,-1).

Formula

G.f.: -(x^7-11*x^6+12*x^5-23*x^4-35*x^3-23*x^2-12*x-11) / (x^8-70*x^4+1). - Colin Barker, Nov 06 2013

Mathematica

Numerator/@Convergents[Sqrt[136], 30] (* Harvey P. Dale, Jun 19 2011 *)

Crossrefs

Cf. A041249.

Sequence in context: A197221 A093099 A092778 * A112063 A042615 A041244

Adjacent sequences: A041245 A041246 A041247 * A041249 A041250 A041251

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved