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A041240 Numerators of continued fraction convergents to sqrt(132). 2
11, 23, 517, 1057, 23771, 48599, 1092949, 2234497, 50251883, 102738263, 2310493669, 4723725601, 106232456891, 217188639383, 4884382523317, 9985953686017, 224575363615691, 459136680917399, 10325582343798469, 21110301368514337, 474752212451113883 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 10 11:52 EDT 2020. Contains 336379 sequences. (Running on oeis4.)