A041350 - OEIS

%I #15 Aug 23 2021 13:48:27

%S 13,14,41,55,1471,1526,4523,6049,161797,167846,497489,665335,17796199,

%T 18461534,54719267,73180801,1957420093,2030600894,6018621881,

%U 8049222775,215298414031,223347636806,661993687643,885341324449,23680868123317,24566209447766

%N Numerators of continued fraction convergents to sqrt(189).

%H Vincenzo Librandi, <a href="/A041350/b041350.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 (0,0,0,110,0,0,0,-1).

%F G.f.: -(x^7-13*x^6+14*x^5-41*x^4-55*x^3-41*x^2-14*x-13) / (x^8-110*x^4+1). - _Colin Barker_, Nov 07 2013

%t Numerator[Convergents[Sqrt[189], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%t LinearRecurrence[{0,0,0,110,0,0,0,-1},{13,14,41,55,1471,1526,4523,6049},30] (* _Harvey P. Dale_, Aug 23 2021 *)

%Y Cf. A041351.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 07 2013