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Denominators of continued fraction convergents to sqrt(698).
2

%I #16 Mar 19 2017 10:28:32

%S 1,2,5,7,12,19,31,81,193,10117,20427,50971,71398,122369,193767,316136,

%T 826039,1968214,103173167,208314548,519802263,728116811,1247919074,

%U 1976035885,3223954959,8423945803,20071846565,1052159967183,2124391780931,5300943529045

%N Denominators of continued fraction convergents to sqrt(698).

%H Vincenzo Librandi, <a href="/A042343/b042343.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_18">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 10198, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F G.f.: -(x^16 -2*x^15 +5*x^14 -7*x^13 +12*x^12 -19*x^11 +31*x^10 -81*x^9 +193*x^8 +81*x^7 +31*x^6 +19*x^5 +12*x^4 +7*x^3 +5*x^2 +2*x +1) / (x^18 +10198*x^9 -1). - _Colin Barker_, Dec 09 2013

%t Denominator[Convergents[Sqrt[698], 30]] (* _Vincenzo Librandi_, Jan 20 2014 *)

%Y Cf. A042342, A040671.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 09 2013