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A042147 Denominators of continued fraction convergents to sqrt(598). 2

%I #13 Jun 13 2015 00:49:39

%S 1,2,9,11,174,359,5559,5918,29231,64380,3119471,6303322,28332759,

%T 34636081,547873974,1130384029,17503634409,18634018438,92039708161,

%U 202713434760,9822284576641,19847282588042,89211414928809,109058697516851,1725091877681574

%N Denominators of continued fraction convergents to sqrt(598).

%H Vincenzo Librandi, <a href="/A042147/b042147.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 (0,0,0,0,0,0,0,0,0,3148702,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^18 -2*x^17 +9*x^16 -11*x^15 +174*x^14 -359*x^13 +5559*x^12 -5918*x^11 +29231*x^10 -64380*x^9 -29231*x^8 -5918*x^7 -5559*x^6 -359*x^5 -174*x^4 -11*x^3 -9*x^2 -2*x -1) / (x^20 -3148702*x^10 +1). - _Colin Barker_, Dec 02 2013

%t Denominator[Convergents[Sqrt[598], 30]] (* _Vincenzo Librandi_, Jan 15 2014 *)

%Y Cf. A042146, A040573.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 02 2013

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