login
Denominators of continued fraction convergents to sqrt(523).
2

%I #13 Mar 19 2017 09:29:54

%S 1,1,7,8,15,23,107,237,818,11689,12507,274336,286843,4290138,13157257,

%T 30604652,135575865,166180517,301756382,467936899,3109377776,

%U 3577314675,160511223476,164088538151,1145042452382,1309130990533,2454173442915,3763304433448

%N Denominators of continued fraction convergents to sqrt(523).

%H Vincenzo Librandi, <a href="/A042001/b042001.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_44">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, 0, 0, 0, 0, 0, 0, 163620601252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F a(n) = 163620601252*a(n-22) - a(n-44) for n>43. [_Bruno Berselli_, Jan 12 2014]

%t Denominator[Convergents[Sqrt[523], 40]] (* _Vincenzo Librandi_, Jan 12 2014 *)

%Y Cf. A042000.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Jan 12 2014