A042466 - OEIS

%I #16 Mar 18 2017 16:40:41

%S 27,28,55,138,331,469,800,43669,44469,88138,220745,529628,750373,

%T 1280001,69870427,71150428,141020855,353192138,847405131,1200597269,

%U 2048002400,111792726869,113840729269,225633456138,565107641545,1355848739228,1920956380773

%N Numerators of continued fraction convergents to sqrt(761).

%H Vincenzo Librandi, <a href="/A042466/b042466.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 1600, 0, 0, 0, 0, 0, 0, 1).

%F G.f.: -(x^13 -27*x^12 +28*x^11 -55*x^10 +138*x^9 -331*x^8 +469*x^7 +800*x^6 +469*x^5 +331*x^4 +138*x^3 +55*x^2 +28*x +27) / (x^14 +1600*x^7 -1). - _Colin Barker_, Dec 14 2013

%t Numerator[Convergents[Sqrt[761],30]] (* _Harvey P. Dale_, Sep 07 2012 *)

%Y Cf. A042467, A040733.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 14 2013