%I #18 Jul 14 2023 17:45:39

%S 1,1,3,13,263,1065,2393,3458,209873,213331,636535,2759471,55825955,

%T 226063291,507952537,734015828,44548902217,45282918045,135114738307,

%U 585741871273,11849952163767,47985550526341,107821053216449,155806603742790,9456217277783849

%N Denominators of continued fraction convergents to sqrt(942).

%H Vincenzo Librandi, <a href="/A042823/b042823.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 212266, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^14 -x^13 +3*x^12 -13*x^11 +263*x^10 -1065*x^9 +2393*x^8 -3458*x^7 -2393*x^6 -1065*x^5 -263*x^4 -13*x^3 -3*x^2 -x -1) / (x^16 -212266*x^8 +1). - _Colin Barker_, Dec 24 2013

%t Denominator[Convergents[Sqrt[942], 30]] (* _Vincenzo Librandi_, Jan 30 2014 *)

%t LinearRecurrence[{0,0,0,0,0,0,0,212266,0,0,0,0,0,0,0,-1},{1,1,3,13,263,1065,2393,3458,209873,213331,636535,2759471,55825955,226063291,507952537,734015828},30] (* _Harvey P. Dale_, Jul 14 2023 *)

%Y Cf. A042822, A040911.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 24 2013