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Numerators of continued fraction convergents to sqrt(876).
2

%I #12 Jun 13 2015 00:49:47

%S 29,30,59,148,2131,4410,6541,10951,641699,652650,1294349,3241348,

%T 46673221,96587790,143261011,239848801,14054491469,14294340270,

%U 28348831739,70992003748,1022236884211,2115465772170,3137702656381,5253168428551,307821471512339

%N Numerators of continued fraction convergents to sqrt(876).

%H Vincenzo Librandi, <a href="/A042692/b042692.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 (0,0,0,0,0,0,0,21902,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -29*x^14 +30*x^13 -59*x^12 +148*x^11 -2131*x^10 +4410*x^9 -6541*x^8 -10951*x^7 -6541*x^6 -4410*x^5 -2131*x^4 -148*x^3 -59*x^2 -30*x -29) / ((x^8 -148*x^4 +1)*(x^8 +148*x^4 +1)). - _Colin Barker_, Dec 21 2013

%t Numerator[Convergents[Sqrt[876], 30]] (* _Vincenzo Librandi_, Dec 01 2013 *)

%Y Cf. A042693, A040846.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 21 2013