A041942 - OEIS

%I #19 Mar 18 2017 13:11:45

%S 22,89,200,489,689,1867,2556,6979,16514,73035,3230054,12993251,

%T 29216556,71426363,100642919,272712201,373355120,1019422441,

%U 2412200002,10668222449,471813987758,1897924173481,4267662334720,10433248842921,14700911177641

%N Numerators of continued fraction convergents to sqrt(494).

%H Vincenzo Librandi, <a href="/A041942/b041942.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, 146070, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -22*x^18 +89*x^17 -200*x^16 +489*x^15 -689*x^14 +1867*x^13 -2556*x^12 +6979*x^11 -16514*x^10 -73035*x^9 -16514*x^8 -6979*x^7 -2556*x^6 -1867*x^5 -689*x^4 -489*x^3 -200*x^2 -89*x -22) / (x^20 -146070*x^10 +1). - _Colin Barker_, Nov 27 2013

%t Numerator[Convergents[Sqrt[494], 30]] (* _Harvey P. Dale_, Oct 19 2012 *)

%Y Cf. A041943, A040471.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 27 2013