%I #15 Sep 08 2022 08:44:54
%S 1,8,257,2064,66305,532504,17106433,137383968,4413393409,35444531240,
%T 1138638393089,9144551675952,293764292023553,2359258887864376,
%U 75790048703683585,608679648517333056,19553538801258341377,157036990058584064072,5044737220675948391681
%N Denominators of continued fraction convergents to sqrt(260).
%H Vincenzo Librandi, <a href="/A041487/b041487.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 (0,258,0,-1).
%F G.f.: -(x^2-8*x-1) / ((x^2-16*x-1)*(x^2+16*x-1)). - _Colin Barker_, Nov 18 2013
%F a(n) = 258*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Dec 18 2013
%t Denominator[Convergents[Sqrt[260], 30]] (* _Vincenzo Librandi_, Dec 18 2013 *)
%o (Magma) I:=[1,8,257,2064]; [n le 4 select I[n] else 258*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Dec 18 2013
%Y Cf. A041486, A040243.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 18 2013