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Numerators of continued fraction convergents to sqrt(92).
2

%I #13 Jun 13 2015 00:49:22

%S 9,10,19,48,211,470,681,1151,21399,22550,43949,110448,485741,1081930,

%T 1567671,2649601,49260489,51910090,101170579,254251248,1118175571,

%U 2490602390,3608777961,6099380351,113397624279,119497004630,232894628909,585286262448

%N Numerators of continued fraction convergents to sqrt(92).

%H Vincenzo Librandi, <a href="/A041164/b041164.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 (0,0,0,0,0,0,0,2302,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -9*x^14 +10*x^13 -19*x^12 +48*x^11 -211*x^10 +470*x^9 -681*x^8 -1151*x^7 -681*x^6 -470*x^5 -211*x^4 -48*x^3 -19*x^2 -10*x -9) / ((x^8 -48*x^4 +1)*(x^8 +48*x^4 +1)). - _Colin Barker_, Nov 05 2013

%t Numerator[Convergents[Sqrt[92], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)

%Y Cf. A010543, A041165.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 05 2013