%I #22 May 25 2023 18:44:25
%S 1,1,7,57,349,406,19837,20243,141295,1150603,7044913,8195516,
%T 400429681,408625197,2852180863,23226072101,142208613469,165434685570,
%U 8083073520829,8248508206399,57574122759223,468841490280183,2870623064440321,3339464554720504
%N Denominators of continued fraction convergents to sqrt(618).
%H Vincenzo Librandi, <a href="/A042187/b042187.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, 20186, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^10 - x^9 + 7*x^8 - 57*x^7 + 349*x^6 - 406*x^5 - 349*x^4 - 57*x^3 - 7*x^2 - x - 1) / (x^12 - 20186*x^6 + 1). - _Colin Barker_, Dec 03 2013
%t Denominator[Convergents[Sqrt[618], 30]] (* _Vincenzo Librandi_, Jan 16 2014 *)
%t LinearRecurrence[{0,0,0,0,0,20186,0,0,0,0,0,-1},{1,1,7,57,349,406,19837,20243,141295,1150603,7044913,8195516},30] (* _Harvey P. Dale_, May 25 2023 *)
%Y Cf. A042186, A040593.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_
%E More terms from _Colin Barker_, Dec 03 2013
|