A041640 - OEIS

%I #13 Jun 13 2015 00:49:36

%S 18,37,92,221,313,5542,5855,17252,40359,97970,3567279,7232528,

%T 18032335,43297198,61329533,1085899259,1147228792,3380356843,

%U 7907942478,19196241799,698972647242,1417141536283,3533255719808,8483652975899,12016908695707,212771100802918

%N Numerators of continued fraction convergents to sqrt(339).

%H Vincenzo Librandi, <a href="/A041640/b041640.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 (0,0,0,0,0,0,0,0,0,195940,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -18*x^18 +37*x^17 -92*x^16 +221*x^15 -313*x^14 +5542*x^13 -5855*x^12 +17252*x^11 -40359*x^10 -97970*x^9 -40359*x^8 -17252*x^7 -5855*x^6 -5542*x^5 -313*x^4 -221*x^3 -92*x^2 -37*x -18) / (x^20 -195940*x^10 +1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[339], 30]] (* _Vincenzo Librandi_, Nov 06 2013 *)

%Y Cf. A041641.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 10 2013