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A042804 Numerators of continued fraction convergents to sqrt(933). 2

%I #15 Mar 18 2017 18:09:05

%S 30,31,61,336,6781,34241,41022,75263,4556802,4632065,9188867,50576400,

%T 1020716867,5154160735,6174877602,11329038337,685917177822,

%U 697246216159,1383163393981,7613063186064,153644427115261,775835198762369,929479625877630

%N Numerators of continued fraction convergents to sqrt(933).

%H Vincenzo Librandi, <a href="/A042804/b042804.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 150526, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^15 -30*x^14 +31*x^13 -61*x^12 +336*x^11 -6781*x^10 +34241*x^9 -41022*x^8 -75263*x^7 -41022*x^6 -34241*x^5 -6781*x^4 -336*x^3 -61*x^2 -31*x -30) / (x^16 -150526*x^8 +1). - _Colin Barker_, Dec 23 2013

%t Numerator[Convergents[Sqrt[933], 30]] (* _Vincenzo Librandi_, Dec 05 2013 *)

%Y Cf. A042805, A040902.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 23 2013

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