%I #20 Sep 08 2022 08:44:55
%S 1,2,3,8,11,30,1391,2812,4203,11218,15421,42060,1950181,3942422,
%T 5892603,15727628,21620231,58968090,2734152371,5527272832,8261425203,
%U 22050123238,30311548441,82673220120,3833279673961,7749232568042,11582512242003,30914257052048
%N Denominators of continued fraction convergents to sqrt(546).
%H Vincenzo Librandi, <a href="/A042045/b042045.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1402,0,0,0,0,0,-1).
%F G.f.: -(x^2-2*x-1)*(x^8+4*x^6+15*x^4+4*x^2+1) / (x^12-1402*x^6+1). - _Colin Barker_, Nov 30 2013
%F a(n) = 1402*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Jan 13 2014
%t Denominator[Convergents[Sqrt[546], 30]] (* _Vincenzo Librandi_, Jan 13 2014 *)
%o (Magma) I:=[1,2,3,8,11,30,1391,2812,4203,11218,15421, 42060]; [n le 12 select I[n] else 1402*Self(n-6)-Self(n-12): n in [1..30]]; // _Vincenzo Librandi_, Jan 13 2014
%Y Cf. A042044, A040522.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 30 2013