A042464 - OEIS

%I #17 Mar 18 2017 16:40:24

%S 27,28,55,193,1020,1213,7085,22468,29553,52021,2838687,2890708,

%T 5729395,20078893,106123860,126202753,737137625,2337615628,3074753253,

%U 5412368881,295342672827,300755041708,596097714535,2089048185313,11041338641100,13130386826413

%N Numerators of continued fraction convergents to sqrt(760).

%H Vincenzo Librandi, <a href="/A042464/b042464.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 104042, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -27*x^18 +28*x^17 -55*x^16 +193*x^15 -1020*x^14 +1213*x^13 -7085*x^12 +22468*x^11 -29553*x^10 -52021*x^9 -29553*x^8 -22468*x^7 -7085*x^6 -1213*x^5 -1020*x^4 -193*x^3 -55*x^2 -28*x -27) / (x^20 -104042*x^10 +1). - _Colin Barker_, Dec 14 2013

%t Numerator[Convergents[Sqrt[760],30]] (* _Harvey P. Dale_, Apr 25 2012 *)

%Y Cf. A042465, A040732.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 14 2013