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A042109 Denominators of continued fraction convergents to sqrt(579). 2
1, 16, 769, 12320, 592129, 9486384, 455938561, 7304503360, 351072099841, 5624458100816, 270325060939009, 4330825433124960, 208149945850937089, 3334729959048118384, 160275187980160619521, 2567737737641618030720, 123411686594777826094081 (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, 770, 0, -1).

FORMULA

G.f.: -(x^2-16*x-1) / (x^4-770*x^2+1). - Colin Barker, Dec 02 2013

a/n) = 770*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 14 2014

MATHEMATICA

Denominator[Convergents[Sqrt[579], 30]] (* Vincenzo Librandi, Jan 14 2014 *)

PROG

(MAGMA) I:=[1, 16, 769, 12320]; [n le 4 select I[n] else 770*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 14 2014

CROSSREFS

Cf. A042108, A040554.

Sequence in context: A221527 A129008 A134183 * A221061 A326216 A194610

Adjacent sequences:  A042106 A042107 A042108 * A042110 A042111 A042112

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Dec 02 2013

STATUS

approved

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Last modified November 27 12:51 EST 2021. Contains 349394 sequences. (Running on oeis4.)