A041980 - OEIS

%I #12 Apr 18 2023 09:21:03

%S 22,23,45,68,385,453,2197,11438,25073,136803,572285,709088,4117725,

%T 4826813,8944538,13771351,614883982,628655333,1243539315,1872194648,

%U 10604512555,12476707203,60511341367,315033414038

%N Numerators of continued fraction convergents to sqrt(513).

%H Vincenzo Librandi, <a href="/A041980/b041980.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_32">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27542702, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 27542702*a(n-16) - a(n-32). - _Wesley Ivan Hurt_, Apr 18 2023

%t Numerator[Convergents[Sqrt[513], 30]] (* _Vincenzo Librandi_, Nov 13 2013 *)

%Y Cf. A041981.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.