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A042339 Denominators of continued fraction convergents to sqrt(696). 2

%I #18 Mar 19 2017 10:28:02

%S 1,2,3,5,8,13,21,55,2881,5817,8698,14515,23213,37728,60941,159610,

%T 8360661,16880932,25241593,42122525,67364118,109486643,176850761,

%U 463188165,24262635341,48988458847,73251094188,122239553035,195490647223,317730200258

%N Denominators of continued fraction convergents to sqrt(696).

%H Vincenzo Librandi, <a href="/A042339/b042339.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 2902, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^14 -2*x^13 +3*x^12 -5*x^11 +8*x^10 -13*x^9 +21*x^8 -55*x^7 -21*x^6 -13*x^5 -8*x^4 -5*x^3 -3*x^2 -2*x -1) / (x^16 -2902*x^8 +1). - _Colin Barker_, Dec 08 2013

%t Denominator[Convergents[Sqrt[696], 30]] (* _Vincenzo Librandi_, Jan 20 2014 *)

%Y Cf. A042338, A040668.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 08 2013

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Last modified March 28 17:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)