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Numerators of continued fraction convergents to sqrt(533).
2

%I #15 Mar 18 2017 15:25:21

%S 23,254,277,531,6118,281959,3107667,3389626,6497293,74859849,

%T 3450050347,38025413666,41475464013,79500877679,915985118482,

%U 42214816327851,465278964724843,507493781052694,972772745777537,11207993984605601,516540496037635183

%N Numerators of continued fraction convergents to sqrt(533).

%H Vincenzo Librandi, <a href="/A042018/b042018.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 12236, 0, 0, 0, 0, 1).

%F G.f.: -(x^9-23*x^8+254*x^7-277*x^6+531*x^5+6118*x^4+531*x^3+277*x^2+254*x+23) / (x^10+12236*x^5-1). - _Colin Barker_, Nov 29 2013

%t Numerator[Convergents[Sqrt[533], 30]] (* _Vincenzo Librandi_, Nov 13 2013 *)

%Y Cf. A042019, A040509.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 29 2013