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

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 (0,46,0,-1).

Crossrefs

Cf. A041241.

Programs

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 *)

Formula

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

Extensions

More terms from Colin Barker, Nov 06 2013