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A042015 Denominators of continued fraction convergents to sqrt(531). 2
1, 23, 1059, 24380, 1122539, 25842777, 1189890281, 27393319240, 1261282575321, 29036892551623, 1336958339949979, 30779078711401140, 1417174579064402419, 32625794397192656777, 1502203716849926614161, 34583311281945504782480, 1592334522686343146608241 (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, 1060, 0, -1).

FORMULA

G.f.: -(x^2-23*x-1) / (x^4-1060*x^2+1). - Colin Barker, Nov 29 2013

a(n) = 1060*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 12 2014

MATHEMATICA

Denominator[Convergents[Sqrt[531], 40]] (* Vincenzo Librandi, Jan 12 2014 *)

PROG

(MAGMA) I:=[1, 23, 1059, 24380]; [n le 4 select I[n] else 1060*Self(n-2)-Self(n-4): n in [1..20]]; // Vincenzo Librandi, Jan 12 2014

CROSSREFS

Cf. A042014, A040507.

Sequence in context: A130551 A069479 A174748 * A042012 A128404 A126741

Adjacent sequences:  A042012 A042013 A042014 * A042016 A042017 A042018

KEYWORD

nonn,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 29 2013

STATUS

approved

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Last modified February 19 13:02 EST 2019. Contains 320310 sequences. (Running on oeis4.)