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A042887 Denominators of continued fraction convergents to sqrt(975). 2

%I #18 Jun 26 2022 23:48:35

%S 1,4,9,40,2489,9996,22481,99920,6217521,24970004,56157529,249600120,

%T 15531364969,62375059996,140281484961,623500999840,38797343475041,

%U 155812874900004,350423093275049,1557505248000200,96915748469287449,389220499125149996,875356746719587441

%N Denominators of continued fraction convergents to sqrt(975).

%H Vincenzo Librandi, <a href="/A042887/b042887.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 (0,0,0,2498,0,0,0,-1).

%F G.f.: -(x^2 - 4*x - 1)*(x^4 + 10*x^2 + 1) / ((x^4 - 50*x^2 + 1)*(x^4 + 50*x^2 + 1)). - _Colin Barker_, Dec 25 2013

%t Denominator[Convergents[Sqrt[975], 30]] (* _Vincenzo Librandi_, Jan 31 2014 *)

%t LinearRecurrence[{0,0,0,2498,0,0,0,-1},{1,4,9,40,2489,9996,22481,99920},30] (* _Harvey P. Dale_, Dec 29 2019 *)

%Y Cf. A042886, A040943.

%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 May 7 06:37 EDT 2024. Contains 372300 sequences. (Running on oeis4.)