login
Numerators of continued fraction convergents to sqrt(138).
2

%I #14 Aug 03 2020 12:18:36

%S 11,12,35,47,1069,1116,3301,4417,100475,104892,310259,415151,9443581,

%T 9858732,29161045,39019777,887596139,926615916,2740827971,3667443887,

%U 83424593485,87092037372,257608668229,344700705601,7841024191451,8185724897052,24212473985555

%N Numerators of continued fraction convergents to sqrt(138).

%H Vincenzo Librandi, <a href="/A041252/b041252.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 (0,0,0,94,0,0,0,-1).

%F G.f.: -(x^7-11*x^6+12*x^5-35*x^4-47*x^3-35*x^2-12*x-11) / (x^8-94*x^4+1). - _Colin Barker_, Nov 06 2013

%t Numerator[Convergents[Sqrt[138], 30]] (* _Vincenzo Librandi_, Oct 31 2013 *)

%t LinearRecurrence[{0,0,0,94,0,0,0,-1},{11,12,35,47,1069,1116,3301,4417},30] (* _Harvey P. Dale_, Aug 03 2020 *)

%Y Cf. A041253.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 06 2013