|
%I #14 Jun 01 2022 17:48:00
%S 19,39,136,175,836,1011,3869,8749,336331,681411,2380564,3061975,
%T 14628464,17690439,67699781,153090001,5885119819,11923329639,
%U 41655108736,53578438375,255968862236,309547300611,1184610764069,2678768828749,102977826256531,208634421341811
%N Numerators of continued fraction convergents to sqrt(378).
%H Vincenzo Librandi, <a href="/A041716/b041716.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 (0,0,0,0,0,0,0,17498,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^15 -19*x^14 +39*x^13 -136*x^12 +175*x^11 -836*x^10 +1011*x^9 -3869*x^8 -8749*x^7 -3869*x^6 -1011*x^5 -836*x^4 -175*x^3 -136*x^2 -39*x -19) / (x^16 -17498*x^8 +1). - _Colin Barker_, Nov 11 2013
%t Numerator[Convergents[Sqrt[378], 30]] (* _Vincenzo Librandi_, Nov 07 2013 *)
%t LinearRecurrence[{0,0,0,0,0,0,0,17498,0,0,0,0,0,0,0,-1},{19,39,136,175,836,1011,3869,8749,336331,681411,2380564,3061975,14628464,17690439,67699781,153090001},30] (* _Harvey P. Dale_, Jun 01 2022 *)
%Y Cf. A041717.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 11 2013
|
