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A042102 Numerators of continued fraction convergents to sqrt(575). 2
23, 24, 1127, 1151, 54073, 55224, 2594377, 2649601, 124476023, 127125624, 5972254727, 6099380351, 286543750873, 292643131224, 13748127787177, 14040770918401, 659623590033623, 673664360952024 (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 (0,48,0,-1).

FORMULA

G.f.: -(x^3 - 23*x^2 - 24*x - 23)/(x^4 - 48*x^2 + 1). - Vincenzo Librandi, Nov 16 2013

a(n) = 48*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 12 2013

MATHEMATICA

Numerator[Convergents[Sqrt[575], 20]] (* Harvey P. Dale, Aug 10 2011 *)

CoefficientList[Series[-(x^3 - 23 x^2 - 24 x - 23)/(x^4 - 48 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 16 2013 *)

PROG

(MAGMA) I:=[23, 24, 1127, 1151]; [n le 4 select I[n] else 48*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 16 2013

CROSSREFS

Cf. A042103.

Sequence in context: A041263 A042100 A042101 * A156964 A147624 A263315

Adjacent sequences:  A042099 A042100 A042101 * A042103 A042104 A042105

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 26 08:16 EDT 2019. Contains 322472 sequences. (Running on oeis4.)