|
%I #17 Sep 08 2022 08:44:54
%S 1,2,57,116,3305,6726,191633,389992,11111409,22612810,644270089,
%T 1311152988,37356553753,76024260494,2166035847585,4408095955664,
%U 125592722606177,255593541168018,7282211875310681,14820017291789380,422242696045413321
%N Denominators of continued fraction convergents to sqrt(210).
%H Vincenzo Librandi, <a href="/A041391/b041391.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 (0,58,0,-1).
%F G.f.: -(x^2-2*x-1) / (x^4-58*x^2+1). - _Colin Barker_, Nov 17 2013
%F a(n) = 58*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Dec 17 2013
%t Denominator[Convergents[Sqrt[210], 30]] (* _Vincenzo Librandi_, Dec 17 2013 *)
%o (Magma) I:=[1,2,57,116]; [n le 4 select I[n] else 58*Self(n-2)-Self(n-4): n in [1..40]]; // _Vincenzo Librandi_, Dec 17 2013
%Y Cf. A041390, A176441, A040195.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 17 2013
|
