A042843 Denominators of continued fraction convergents to sqrt(952).

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

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