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Numerators of continued fraction convergents to sqrt(95).
2

%I #15 Dec 30 2020 17:08:22

%S 9,10,29,39,731,770,2271,3041,57009,60050,177109,237159,4445971,

%T 4683130,13812231,18495361,346728729,365224090,1077176909,1442400999,

%U 27040394891,28482795890,84005986671

%N Numerators of continued fraction convergents to sqrt(95).

%H Vincenzo Librandi, <a href="/A041170/b041170.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,78,0,0,0,-1).

%F G.f.: (9 +10*x +29*x^2 +39*x^3 +29*x^4 -10*x^5 +9*x^6 -x^7) / (1 -78*x^4 +x^8). [_Bruno Berselli_, Oct 30 2013]

%t Numerator[Convergents[Sqrt[95], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)

%t LinearRecurrence[{0,0,0,78,0,0,0,-1},{9,10,29,39,731,770,2271,3041},30] (* _Harvey P. Dale_, Dec 30 2020 *)

%Y Cf. A010546, A041171.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.