%I #15 Sep 08 2022 08:44:54
%S 1,3,4,19,23,88,3367,10189,13556,64413,77969,298320,11414129,34540707,
%T 45954836,218360051,264314887,1011304712,38693893943,117092986541,
%U 155786880484,740240508477,896027388961,3428322675360,131172289052641,396945189833283
%N Denominators of continued fraction convergents to sqrt(371).
%H Vincenzo Librandi, <a href="/A041703/b041703.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 (0,0,0,0,0,3390,0,0,0,0,0,-1).
%F G.f.: -(x^10-3*x^9+4*x^8-19*x^7+23*x^6-88*x^5-23*x^4-19*x^3-4*x^2-3*x-1) / (x^12-3390*x^6+1). - _Colin Barker_, Nov 22 2013
%F a(n) = 3390*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Dec 23 2013
%t Denominator[Convergents[Sqrt[371], 30]] (* _Vincenzo Librandi_, Dec 23 2013 *)
%o (Magma) I:=[1,3,4,19,23,88,3367,10189,13556,64413,77969, 298320]; [n le 12 select I[n] else 3390*Self(n-6)-Self(n-12): n in [1..40]]; // _Vincenzo Librandi_, Dec 23 2013
%Y Cf. A041702, A040351.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 22 2013