A042824 - OEIS

%I #14 Mar 18 2017 18:11:53

%S 30,31,92,215,522,737,44742,45479,135700,316879,769458,1086337,

%T 65949678,67036015,200021708,467079431,1134180570,1601260001,

%U 97209780630,98811040631,294831861892,688474764415,1671781390722,2360256155137,143287150698942,145647406854079

%N Numerators of continued fraction convergents to sqrt(943).

%H Vincenzo Librandi, <a href="/A042824/b042824.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, 1474, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^11 -30*x^10 +31*x^9 -92*x^8 +215*x^7 -522*x^6 -737*x^5 -522*x^4 -215*x^3 -92*x^2 -31*x -30) / (x^12 -1474*x^6 +1). - _Colin Barker_, Dec 24 2013

%t Numerator[Convergents[Sqrt[943], 30]] (* _Vincenzo Librandi_, Dec 05 2013 *)

%Y Cf. A042825, A040912.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 24 2013