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A042631 Denominators of continued fraction convergents to sqrt(845). 2

%I #15 Apr 09 2022 10:48:36

%S 1,14,15,29,421,24447,342679,367126,709805,10304396,598364773,

%T 8387411218,8985775991,17373187209,252210396917,14645576208395,

%U 205290277314447,219935853522842,425226130837289,6173101685244888,358465123875040793,5024684835935815990

%N Denominators of continued fraction convergents to sqrt(845).

%H Vincenzo Librandi, <a href="/A042631/b042631.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 (0,0,0,0,24476,0,0,0,0,1).

%F G.f.: -(x^8-14*x^7+15*x^6-29*x^5+421*x^4+29*x^3+15*x^2+14*x+1) / (x^10+24476*x^5-1). - _Colin Barker_, Dec 20 2013

%t Denominator[Convergents[Sqrt[845], 30]] (* _Vincenzo Librandi_, Jan 26 2014 *)

%t LinearRecurrence[{0,0,0,0,24476,0,0,0,0,1},{1,14,15,29,421,24447,342679,367126,709805,10304396},30] (* _Harvey P. Dale_, Apr 09 2022 *)

%Y Cf. A042630, A040815.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 20 2013

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