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A042843 Denominators of continued fraction convergents to sqrt(952). 2
1, 1, 6, 7, 48, 55, 323, 378, 23003, 23381, 139908, 163289, 1119642, 1282931, 7534297, 8817228, 536567977, 545385205, 3263494002, 3808879207, 26116769244, 29925648451, 175745011499, 205670659950, 12515984608499, 12721655268449, 76124260950744, 88845916219193 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 23326, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+7*x^2+1)*(x^8+54*x^4+1) / (x^16-23326*x^8+1). - Colin Barker, Dec 25 2013

a(n) = 23326*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 25 2013

MATHEMATICA

Denominator[Convergents[Sqrt[952], 30]] (* Vincenzo Librandi, Dec 25 2013 *)

PROG

(MAGMA) I:=[1, 1, 6, 7, 48, 55, 323, 378, 23003, 23381, 139908, 163289, 1119642, 1282931, 7534297, 8817228]; [n le 16 select I[n] else 23326*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 25 2013

CROSSREFS

Cf. A042842, A040921.

Sequence in context: A080879 A119108 A248264 * A182622 A028423 A269912

Adjacent sequences:  A042840 A042841 A042842 * A042844 A042845 A042846

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 25 2013

STATUS

approved

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Last modified February 22 05:17 EST 2019. Contains 320385 sequences. (Running on oeis4.)