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Numerators of continued fraction convergents to sqrt(534).
2

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

%S 23,208,855,1063,1918,43259,45177,88436,398921,3678725,169620271,

%T 1530261164,6290664927,7820926091,14111591018,318275928487,

%U 332387519505,650663447992,2935041311473,27066035251249,1247972662868927,11258820001071592,46283252667155295

%N Numerators of continued fraction convergents to sqrt(534).

%H Vincenzo Librandi, <a href="/A042020/b042020.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 (0,0,0,0,0,0,0,0,0,7357450,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -23*x^18 +208*x^17 -855*x^16 +1063*x^15 -1918*x^14 +43259*x^13 -45177*x^12 +88436*x^11 -398921*x^10 -3678725*x^9 -398921*x^8 -88436*x^7 -45177*x^6 -43259*x^5 -1918*x^4 -1063*x^3 -855*x^2 -208*x -23) / (x^20 -7357450*x^10 +1). - _Colin Barker_, Nov 29 2013

%t Numerator[Convergents[Sqrt[534], 30]] (* _Vincenzo Librandi_, Nov 13 2013 *)

%Y Cf. A042021, A040510.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 29 2013