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A042126 Numerators of continued fraction convergents to sqrt(588). 2
24, 97, 4680, 18817, 907896, 3650401, 176127144, 708158977, 34167758040, 137379191137, 6628368932616, 26650854921601, 1285869405169464, 5170128475599457, 249452036233943400, 1002978273411373057 (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 (0,194,0,-1).

FORMULA

G.f.: (24 + 97*x + 24*x^2 - x^3)/(1 - 194*x^2 + x^4). - Vincenzo Librandi, Nov 17 2013

a(n) = 194*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 17 2013

MATHEMATICA

Numerator[Convergents[Sqrt[588], 30]] (* or *) CoefficientList[Series[(24 + 97 x + 24 x^2 - x^3)/(1 - 194 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 17 2013 *)

PROG

(MAGMA) I:=[24, 97, 4680, 18817]; [n le 4 select I[n] else 194*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 17 2013

CROSSREFS

Cf. A042127.

Sequence in context: A225790 A042122 A042124 * A157514 A100152 A233405

Adjacent sequences:  A042123 A042124 A042125 * A042127 A042128 A042129

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 18 03:03 EDT 2021. Contains 343994 sequences. (Running on oeis4.)