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%I #15 Apr 10 2023 17:04:08
%S 9,10,19,29,135,839,3491,4330,7821,12151,226539,238690,465229,703919,
%T 3280905,20389349,84838301,105227650,190065951,295293601,5505350769,
%U 5800644370,11305995139,17106639509,79732553175,495501958559,2061740387411,2557242345970
%N Numerators of continued fraction convergents to sqrt(93).
%H Vincenzo Librandi, <a href="/A041166/b041166.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 (0,0,0,0,0,0,0,0,0,24302,0,0,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^19 -9*x^18 +10*x^17 -19*x^16 +29*x^15 -135*x^14 +839*x^13 -3491*x^12 +4330*x^11 -7821*x^10 -12151*x^9 -7821*x^8 -4330*x^7 -3491*x^6 -839*x^5 -135*x^4 -29*x^3 -19*x^2 -10*x -9) / (x^20 -24302*x^10 +1). - _Colin Barker_, Nov 10 2013
%t Numerator[Convergents[Sqrt[93], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%t LinearRecurrence[{0,0,0,0,0,0,0,0,0,24302,0,0,0,0,0,0,0,0,0,-1},{9,10,19,29,135,839,3491,4330,7821,12151,226539,238690,465229,703919,3280905,20389349,84838301,105227650,190065951,295293601},30] (* _Harvey P. Dale_, Apr 10 2023 *)
%Y Cf. A010544, A041167.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 10 2013
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