A041994 - OEIS

%I #19 Mar 18 2017 15:22:29

%S 22,23,114,1277,5222,6499,291178,297677,1481886,16598423,67875578,

%T 84474001,3784731622,3869205623,19261554114,215746300877,882246757622,

%U 1097993058499,49193941331578,50291934390077,250361678891886,2804270402200823,11467443287695178

%N Numerators of continued fraction convergents to sqrt(520).

%H Vincenzo Librandi, <a href="/A041994/b041994.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 12998, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11 -22*x^10 +23*x^9 -114*x^8 +1277*x^7 -5222*x^6 -6499*x^5 -5222*x^4 -1277*x^3 -114*x^2 -23*x -22) / ((x^6 -114*x^3 -1)*(x^6 +114*x^3 -1)). - _Colin Barker_, Nov 28 2013

%t Numerator[Convergents[Sqrt[520], 30]] (* _Vincenzo Librandi_, Nov 13 2013 *)

%Y Cf. A041995, A040497.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Nov 28 2013