A041610 - OEIS

%I #16 Oct 17 2024 11:55:40

%S 17,18,629,647,22627,23274,813943,837217,29279321,30116538,1053241613,

%T 1083358151,37887418747,38970776898,1362893833279,1401864610177,

%U 49026290579297,50428155189474,1763583567021413,1814011722210887,63439982122191571,65253993844402458

%N Numerators of continued fraction convergents to sqrt(323).

%H Vincenzo Librandi, <a href="/A041610/b041610.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 (0,36,0,-1).

%F G.f.: -(x^3-17*x^2-18*x-17) / (x^4-36*x^2+1). - _Colin Barker_, Nov 09 2013

%t Numerator[Convergents[Sqrt[323], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%t LinearRecurrence[{0,36,0,-1},{17,18,629,647},30] (* _Harvey P. Dale_, Oct 17 2024 *)

%Y Cf. A041611.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 09 2013