A041552 - OEIS

%I #15 Aug 11 2021 18:12:42

%S 17,103,120,583,703,4801,163937,988423,1152360,5597863,6750223,

%T 46099201,1574123057,9490837543,11064960600,53750679943,64815640543,

%U 442644523201,15114729429377,91131021099463,106245750528840,516114023214823,622359773743663

%N Numerators of continued fraction convergents to sqrt(294).

%H Vincenzo Librandi, <a href="/A041552/b041552.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 (0,0,0,0,0,9602,0,0,0,0,0,-1).

%F G.f.: -(x^11 -17*x^10 +103*x^9 -120*x^8 +583*x^7 -703*x^6 -4801*x^5 -703*x^4 -583*x^3 -120*x^2 -103*x -17) / ((x^6 -98*x^3 +1)*(x^6 +98*x^3 +1)). - _Colin Barker_, Nov 08 2013

%t Numerator[Convergents[Sqrt[294], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%t LinearRecurrence[{0,0,0,0,0,9602,0,0,0,0,0,-1},{17,103,120,583,703,4801,163937,988423,1152360,5597863,6750223,46099201},30] (* _Harvey P. Dale_, Aug 11 2021 *)

%Y Cf. A041553.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 08 2013