A041240 Numerators of continued fraction convergents to sqrt(132).

11, 23, 517, 1057, 23771, 48599, 1092949, 2234497, 50251883, 102738263, 2310493669, 4723725601, 106232456891, 217188639383, 4884382523317, 9985953686017, 224575363615691, 459136680917399, 10325582343798469, 21110301368514337, 474752212451113883

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,46,0,-1).

Formula

G.f.: -(x+1)*(x^2-12*x-11) / (x^4-46*x^2+1). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[132], 30]] (* Vincenzo Librandi, Oct 31 2013 *)
LinearRecurrence[{0, 46, 0, -1}, {11, 23, 517, 1057}, 30] (* Harvey P. Dale, May 07 2019 *)

Crossrefs

Cf. A041241.

Sequence in context: A042005 A153318 A005485 * A193855 A295645 A295654

Adjacent sequences: A041237 A041238 A041239 * A041241 A041242 A041243

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved