|
%I #17 Sep 08 2022 08:44:55
%S 1,24,1153,27696,1330561,31961160,1535466241,36883150944,
%T 1771926711553,42563124228216,2044801889665921,49117808476210320,
%U 2359699608747761281,56681908418422481064,2723091303693026852353,65410873197051066937536,3142445004762144239854081
%N Denominators of continued fraction convergents to sqrt(578).
%H Vincenzo Librandi, <a href="/A042107/b042107.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 (0,1154,0,-1).
%F G.f.: -(x^2-24*x-1) / ((x^2-34*x+1)*(x^2+34*x+1)). - _Colin Barker_, Dec 01 2013
%F a(n) = 1154*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Jan 14 2014
%t Denominator[Convergents[Sqrt[578], 30]] (* _Vincenzo Librandi_, Jan 14 2014 *)
%o (Magma) I:=[1,24,1153,27696]; [n le 4 select I[n] else 1154*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Jan 14 2014
%Y Cf. A042106, A040553.
%K nonn,frac,easy,less
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 01 2013
|
