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A041999 Denominators of continued fraction convergents to sqrt(522). 2

%I #14 Jun 13 2015 00:49:38

%S 1,1,6,7,13,59,72,131,727,858,38479,39337,235164,274501,509665,

%T 2313161,2822826,5135987,28502761,33638748,1508607673,1542246421,

%U 9219839778,10762086199,19981925977,90689790107,110671716084,201361506191,1117479247039,1318840753230

%N Denominators of continued fraction convergents to sqrt(522).

%H Vincenzo Librandi, <a href="/A041999/b041999.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 (0,0,0,0,0,0,0,0,0,39206,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^18 -x^17 +6*x^16 -7*x^15 +13*x^14 -59*x^13 +72*x^12 -131*x^11 +727*x^10 -858*x^9 -727*x^8 -131*x^7 -72*x^6 -59*x^5 -13*x^4 -7*x^3 -6*x^2 -x -1) / ((x^10 -198*x^5 -1)*(x^10 +198*x^5 -1)). - _Colin Barker_, Nov 28 2013

%t Denominator[Convergents[Sqrt[522], 40]] (* _Vincenzo Librandi_, Jan 12 2014 *)

%Y Cf. A041998, A040499.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 28 2013

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Last modified April 25 10:39 EDT 2024. Contains 371967 sequences. (Running on oeis4.)