A041986 - OEIS

%I #16 Nov 10 2022 12:15:11

%S 22,23,68,91,159,2317,2476,4793,12062,16855,753682,770537,2294756,

%T 3065293,5360049,78105979,83466028,161572007,406610042,568182049,

%U 25406620198,25974802247,77356224692,103331026939,180687251631,2632952549773,2813639801404

%N Numerators of continued fraction convergents to sqrt(516).

%H Vincenzo Librandi, <a href="/A041986/b041986.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 (0,0,0,0,0,0,0,0,0,33710,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -22*x^18 +23*x^17 -68*x^16 +91*x^15 -159*x^14 +2317*x^13 -2476*x^12 +4793*x^11 -12062*x^10 -16855*x^9 -12062*x^8 -4793*x^7 -2476*x^6 -2317*x^5 -159*x^4 -91*x^3 -68*x^2 -23*x -22) / (x^20 -33710*x^10 +1). - _Colin Barker_, Nov 28 2013

%t Numerator[Convergents[Sqrt[516], 30]] (* _Vincenzo Librandi_, Nov 13 2013 *)

%t LinearRecurrence[{0,0,0,0,0,0,0,0,0,33710,0,0,0,0,0,0,0,0,0,-1},{22,23,68,91,159,2317,2476,4793,12062,16855,753682,770537,2294756,3065293,5360049,78105979,83466028,161572007,406610042,568182049},30] (* _Harvey P. Dale_, Nov 10 2022 *)

%Y Cf. A041987, A040493.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 28 2013