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Numerators of continued fraction convergents to sqrt(518).
2

%I #16 Mar 18 2017 15:21:53

%S 22,23,91,569,1798,2367,105946,108313,430885,2693623,8511754,11205377,

%T 501548342,512753719,2039809499,12751610713,40294641638,53046252351,

%U 2374329745082,2427375997433,9656457737381,60366122421719,190754825002538,251120947424257

%N Numerators of continued fraction convergents to sqrt(518).

%H Vincenzo Librandi, <a href="/A041990/b041990.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, 4734, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11-22*x^10+23*x^9-91*x^8+569*x^7-1798*x^6-2367*x^5-1798*x^4-569*x^3-91*x^2-23*x-22) / (x^12-4734*x^6+1). - _Colin Barker_, Nov 28 2013

%t Numerator[Convergents[Sqrt[518], 30]] (* _Vincenzo Librandi_, Nov 13 2013 *)

%Y Cf. A041991, A040495.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 28 2013