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A042213 Denominators of continued fraction convergents to sqrt(632). 2

%I #18 Nov 27 2020 12:44:08

%S 1,7,43,308,15443,108409,665897,4769688,239150297,1678821767,

%T 10312080899,73863388060,3703481483899,25998233775353,159692884136017,

%U 1143848422727472,57352114020509617,402608646566294791,2473003993418278363,17713636600494243332

%N Denominators of continued fraction convergents to sqrt(632).

%H Vincenzo Librandi, <a href="/A042213/b042213.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,15486,0,0,0,-1).

%F G.f.: -(x^2 - 7*x - 1)*(x^4 + 44*x^2 + 1) / (x^8 - 15486*x^4 + 1). - _Colin Barker_, Dec 04 2013

%t Denominator[Convergents[Sqrt[632], 30]] (* _Vincenzo Librandi_, Jan 16 2014 *)

%t LinearRecurrence[{0,0,0,15486,0,0,0,-1},{1,7,43,308,15443,108409,665897,4769688},20] (* _Harvey P. Dale_, Nov 27 2020 *)

%Y Cf. A042212, A040606.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 04 2013

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Last modified May 9 22:30 EDT 2024. Contains 372354 sequences. (Running on oeis4.)