A042134 Numerators of continued fraction convergents to sqrt(592).

24, 73, 3528, 10657, 515064, 1555849, 75195816, 227143297, 10978074072, 33161365513, 1602723618696, 4841332221601, 233986670255544, 706801342988233, 34160451133690728, 103188154744060417, 4987191878848590744

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,146,0,-1).

Formula

G.f.: (24 + 73*x + 24*x^2 - x^3)/(x^4 - 146*x^2 + 1). - Vincenzo Librandi, Nov 17 2013

a(n) = 146*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 17 2013

Mathematica

Numerator[Convergents[Sqrt[592], 30]] (* or *) CoefficientList[Series[(24 + 73 x + 24 x^2 - x^3)/(x^4 - 146 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 17 2013 *)

Prog

(Magma) I:=[24, 73, 3528, 10657]; [n le 4 select I[n] else 146*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 17 2013

Crossrefs

Cf. A042135.

Sequence in context: A161587 A042130 A042132 * A045249 A185940 A265424

Adjacent sequences: A042131 A042132 A042133 * A042135 A042136 A042137

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved