%I #10 Jul 17 2023 23:44:00
%S 1,2,19,59,137,196,333,1195,1528,10363,42980,53343,149666,203009,
%T 4818873,5021882,14862637,19884519,94400713,586288797,680689510,
%U 2628357327,3309046837,5937404164,15183855165,51488969659,478584582096,1008658133851,48894175006944
%N Denominators of continued fraction convergents to sqrt(599).
%C The number 203009 appears in the identity: (203009)^2 + (103018)^2 = 5*(101809)^2 [From sparling (gnilraps(AT)gmail.com), Mar 27 2010]
%H Vincenzo Librandi, <a href="/A042149/b042149.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_56">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, 0, 0, 0, 0, 0, 0, 49372759589040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%t Denominator[Convergents[Sqrt[599], 30]] (* _Vincenzo Librandi_, Jan 15 2014 *)
%Y Cf. A042148.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Vincenzo Librandi_, Jan 15 2014
|