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A042119 Denominators of continued fraction convergents to sqrt(584). 2
1, 6, 289, 1740, 83809, 504594, 24304321, 146330520, 7048169281, 42435346206, 2043944787169, 12306104069220, 592736940109729, 3568727744727594, 171891668687034241, 1034918739866933040, 49847991182299820161, 300122865833665854006, 14455745551198260812449 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0, 290, 0, -1).

FORMULA

G.f.: -(x^2-6*x-1) / (x^4-290*x^2+1). - Colin Barker, Dec 02 2013

a(n) = 290*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 15 2014

MATHEMATICA

Denominator[Convergents[Sqrt[584], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

PROG

(MAGMA) I:=[1, 6, 289, 1740]; [n le 4 select I[n] else 290*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 15 2014

CROSSREFS

Cf. A042118, A040559.

Sequence in context: A340540 A027875 A203422 * A196980 A197165 A264706

Adjacent sequences:  A042116 A042117 A042118 * A042120 A042121 A042122

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 02 2013

STATUS

approved

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Last modified June 20 15:30 EDT 2021. Contains 345165 sequences. (Running on oeis4.)