A042817 - OEIS

%I #15 Mar 19 2017 12:55:38

%S 1,1,2,3,14,283,1146,1429,2575,4004,242815,246819,489634,736453,

%T 3435446,69445373,281216938,350662311,631879249,982541560,59584372849,

%U 60566914409,120151287258,180718201667,843024093926,17041200080187

%N Denominators of continued fraction convergents to sqrt(939).

%H Vincenzo Librandi, <a href="/A042817/b042817.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, 245390, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^18 -x^17 +2*x^16 -3*x^15 +14*x^14 -283*x^13 +1146*x^12 -1429*x^11 +2575*x^10 -4004*x^9 -2575*x^8 -1429*x^7 -1146*x^6 -283*x^5 -14*x^4 -3*x^3 -2*x^2 -x -1) / (x^20 -245390*x^10 +1). - _Colin Barker_, Dec 24 2013

%t Denominator[Convergents[Sqrt[939], 30]] (* _Vincenzo Librandi_, Jan 30 2014 *)

%Y Cf. A042816, A040908.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 24 2013