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A042193 Denominators of continued fraction convergents to sqrt(621). 2

%I #19 May 19 2019 02:28:57

%S 1,1,12,25,287,312,15263,15575,186588,388751,4462849,4851600,

%T 237339649,242191249,2901443388,6045078025,69397301663,75442379688,

%U 3690631526687,3766073906375,45117444496812,94000962899999,1079128036396801,1173128999296800

%N Denominators of continued fraction convergents to sqrt(621).

%H Vincenzo Librandi, <a href="/A042193/b042193.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 15550, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^10 - x^9 + 12*x^8 - 25*x^7 + 287*x^6 - 312*x^5 - 287*x^4 - 25*x^3 - 12*x^2 - x - 1) / ((x^4 - 25*x^2 + 1)*(x^8 + 25*x^6 + 624*x^4 + 25*x^2 + 1)). - _Colin Barker_, Dec 03 2013

%t Denominator[Convergents[Sqrt[621], 30]] (* _Vincenzo Librandi_, Jan 16 2014 *)

%Y Cf. A042192, A040596.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 03 2013

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)