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A042591 Denominators of continued fraction convergents to sqrt(824). 2

%I #15 Mar 19 2017 12:16:07

%S 1,1,3,7,10,17,112,129,241,611,1463,2074,117607,119681,356969,833619,

%T 1190588,2024207,13335830,15360037,28695867,72751771,174199409,

%U 246951180,14003465489,14250416669,42504298827,99259014323,141763313150,241022327473,1587897277988

%N Denominators of continued fraction convergents to sqrt(824).

%H Vincenzo Librandi, <a href="/A042591/b042591.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 119070, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^22 -x^21 +3*x^20 -7*x^19 +10*x^18 -17*x^17 +112*x^16 -129*x^15 +241*x^14 -611*x^13 +1463*x^12 -2074*x^11 -1463*x^10 -611*x^9 -241*x^8 -129*x^7 -112*x^6 -17*x^5 -10*x^4 -7*x^3 -3*x^2 -x -1) / (x^24 -119070*x^12 +1). - _Colin Barker_, Dec 19 2013

%t Denominator[Convergents[Sqrt[824], 30]] (* _Vincenzo Librandi_, Jan 25 2014 *)

%Y Cf. A042590, A040795.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 19 2013

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)