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A042134 Numerators of continued fraction convergents to sqrt(592). 2
24, 73, 3528, 10657, 515064, 1555849, 75195816, 227143297, 10978074072, 33161365513, 1602723618696, 4841332221601, 233986670255544, 706801342988233, 34160451133690728, 103188154744060417, 4987191878848590744 (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 (0,146,0,-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

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Last modified July 28 10:51 EDT 2021. Contains 346326 sequences. (Running on oeis4.)