login
Numerators of continued fraction convergents to sqrt(79).
2

%I #14 Sep 08 2024 17:14:40

%S 8,9,71,80,1351,1431,11368,12799,216152,228951,1818809,2047760,

%T 34582969,36630729,290998072,327628801,5533058888,5860687689,

%U 46557872711,52418560400,885254839111,937673399511,7448968635688,8386642035199,141635241198872,150021883234071

%N Numerators of continued fraction convergents to sqrt(79).

%H Vincenzo Librandi, <a href="/A041140/b041140.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 (0,0,0,160,0,0,0,-1).

%F G.f.: -(x^7-8*x^6+9*x^5-71*x^4-80*x^3-71*x^2-9*x-8) / (x^8-160*x^4+1). - _Colin Barker_, Nov 05 2013

%t Numerator[Convergents[Sqrt[79], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)

%t LinearRecurrence[{0,0,0,160,0,0,0,-1},{8,9,71,80,1351,1431,11368,12799},30] (* _Harvey P. Dale_, Sep 08 2024 *)

%Y Cf. A010531, A041141.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 05 2013