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A042901 Denominators of continued fraction convergents to sqrt(982). 2

%I

%S 1,2,3,92,95,282,17579,35440,53019,1626010,1679029,4984068,310691245,

%T 626366558,937057803,28738100648,29675158451,88088417550,

%U 5491157046551,11070402510652,16561559557203,507917189226742,524478748783945,1556874686794632,97050709330051129

%N Denominators of continued fraction convergents to sqrt(982).

%H Vincenzo Librandi, <a href="/A042901/b042901.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, 17674, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^10-2*x^9+3*x^8-92*x^7+95*x^6-282*x^5-95*x^4-92*x^3-3*x^2-2*x-1) / (x^12-17674*x^6+1). - _Colin Barker_, Dec 25 2013

%F a(n) = 17674*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Feb 01 2014

%t Denominator[Convergents[Sqrt[982], 30]] (* _Vincenzo Librandi_, Feb 01 2014 *)

%o (MAGMA) I:=[1,2,3,92,95,282,17579,35440,53019,1626010, 1679029,4984068]; [n le 12 select I[n] else 17674*Self(n-6)-Self(n-12): n in [1..30]]; // _Vincenzo Librandi_, Feb 01 2014

%Y Cf. A042900, A040950.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 25 2013

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Last modified April 14 10:14 EDT 2021. Contains 342949 sequences. (Running on oeis4.)