A042186 - OEIS

%I #17 Mar 18 2017 16:07:50

%S 24,25,174,1417,8676,10093,493140,503233,3512538,28603537,175133760,

%T 203737297,9954524016,10158261313,70904091894,577390996465,

%U 3535250070684,4112641067149,200942021293836,205054662360985,1431269995459746,11655214626038953

%N Numerators of continued fraction convergents to sqrt(618).

%H Vincenzo Librandi, <a href="/A042186/b042186.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, 20186, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11-24*x^10+25*x^9-174*x^8+1417*x^7-8676*x^6-10093*x^5-8676*x^4-1417*x^3-174*x^2-25*x-24) / (x^12-20186*x^6+1). - _Colin Barker_, Dec 03 2013

%t Numerator/@Convergents[Sqrt[618], 30] (* _Harvey P. Dale_, Jul 25 2011 *)

%Y Cf. A042187, A040593.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 03 2013