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Numerators of continued fraction convergents to sqrt(74).
2

%I #16 Sep 18 2024 17:07:25

%S 8,9,17,26,43,714,757,1471,2228,3699,61412,65111,126523,191634,318157,

%T 5282146,5600303,10882449,16482752,27365201,454325968,481691169,

%U 936017137,1417708306,2353725443,39077315394,41431040837,80508356231,121939397068,202447753299

%N Numerators of continued fraction convergents to sqrt(74).

%H Vincenzo Librandi, <a href="/A041130/b041130.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 (0,0,0,0,86,0,0,0,0,1).

%F G.f.: -(x^9-8*x^8+9*x^7-17*x^6+26*x^5+43*x^4+26*x^3+17*x^2+9*x+8) / (x^10+86*x^5-1). - _Colin Barker_, Nov 05 2013

%t Numerator[Convergents[Sqrt[74], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)

%t LinearRecurrence[{0,0,0,0,86,0,0,0,0,1},{8,9,17,26,43,714,757,1471,2228,3699},40] (* _Harvey P. Dale_, Sep 18 2024 *)

%Y Cf. A010526, A041131.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 05 2013