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A042587 Denominators of continued fraction convergents to sqrt(822). 2

%I #19 Apr 17 2022 20:28:56

%S 1,1,3,85,173,258,14621,14879,44379,1257491,2559361,3816852,216303073,

%T 220119925,656542923,18603321769,37863186461,56466508230,

%U 3199987647341,3256454155571,9712895958483,275217540993095,560147977944673,835365518937768

%N Denominators of continued fraction convergents to sqrt(822).

%H Vincenzo Librandi, <a href="/A042587/b042587.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 14794, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^10-x^9+3*x^8-85*x^7+173*x^6-258*x^5-173*x^4-85*x^3-3*x^2-x-1) / (x^12-14794*x^6+1). - _Colin Barker_, Dec 18 2013

%F a(n) = 14794*a(n-6) - a(n-12). - _Wesley Ivan Hurt_, Apr 17 2022

%t Denominator[Convergents[Sqrt[822], 30]] (* _Vincenzo Librandi_, Jan 25 2014 *)

%Y Cf. A042586, A040793.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 18 2013

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)