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A042207 Denominators of continued fraction convergents to sqrt(629). 2

%I #21 May 19 2019 02:20:46

%S 1,12,13,25,313,15675,188413,204088,392501,4914100,246097501,

%T 2958084112,3204181613,6162265725,77151370313,3863730781375,

%U 46441920746813,50305651528188,96747572275001,1211276518828200,60660573513685001,729138158683048212,789798732196733213

%N Denominators of continued fraction convergents to sqrt(629).

%H Vincenzo Librandi, <a href="/A042207/b042207.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 15700, 0, 0, 0, 0, 1).

%F G.f.: -(x^8 - 12*x^7 + 13*x^6 - 25*x^5 + 313*x^4 + 25*x^3 + 13*x^2 + 12*x + 1) / (x^10 + 15700*x^5 - 1). - _Colin Barker_, Dec 04 2013

%t Denominator[Convergents[Sqrt[629], 30]] (* _Vincenzo Librandi_, Jan 16 2014 *)

%t LinearRecurrence[{0,0,0,0,15700,0,0,0,0,1},{1,12,13,25,313,15675,188413,204088,392501,4914100},30] (* _Harvey P. Dale_, May 27 2014 *)

%Y Cf. A042206, A040603.

%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 September 19 12:50 EDT 2024. Contains 376012 sequences. (Running on oeis4.)