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A042014 Numerators of continued fraction convergents to sqrt(531). 2
23, 530, 24403, 561799, 25867157, 595506410, 27419162017, 631236232801, 29064285870863, 669109811262650, 30808115603952763, 709255768702176199, 32656573475904057917, 751810445714495508290, 34615937076342697439257 (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, 1060, 0, -1).

FORMULA

G.f.: -(x^3-23*x^2-530*x-23)/(x^4-1060*x^2+1). - Vincenzo Librandi, Nov 13 2013

a(n) = 1060*a(n-2)-a(n-4). - Vincenzo Librandi, Nov 13 2013

MATHEMATICA

Numerator[Convergents[Sqrt[531], 30]] (* or *) CoefficientList[Series[-(x^3 - 23 x^2 - 530 x - 23)/(x^4 - 1060 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 13 2013 *)

PROG

(MAGMA) I:=[23, 530, 24403, 561799]; [n le 4 select I[n] else 1060*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 13 2013

CROSSREFS

Cf. A042015.

Sequence in context: A009967 A147642 A057686 * A136670 A062360 A062511

Adjacent sequences:  A042011 A042012 A042013 * A042015 A042016 A042017

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 17 10:59 EST 2019. Contains 320219 sequences. (Running on oeis4.)