%I #17 Jul 09 2025 02:07:58

%S 1,3,34,105,4864,14697,166531,514290,23823871,71985903,815668804,

%T 2518992315,116689315294,352586938197,3995145635461,12338023844580,

%U 571544242486141,1726970751303003,19568222506819174,60431638271760525,2799423583007803324

%N Denominators of continued fraction convergents to sqrt(544).

%H Vincenzo Librandi, <a href="/A042041/b042041.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,4898,0,0,0,-1).

%F G.f.: -(x^2-3*x-1)*(x^4+35*x^2+1) / ((x^4-70*x^2+1)*(x^4+70*x^2+1)). - _Colin Barker_, Nov 30 2013

%F a(n) = 4898*a(n-4) - a(n-8). - _Wesley Ivan Hurt_, Sep 05 2022

%t Denominator[Convergents[Sqrt[544], 40]] (* _Vincenzo Librandi_, Jan 12 2014 *)

%Y Cf. A042040, A040520.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Nov 30 2013