login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042120 Numerators of continued fraction convergents to sqrt(585). 2

%I #15 Jun 13 2015 00:49:39

%S 24,121,266,387,1814,2201,6216,33281,1603704,8051801,17707306,

%T 25759107,120743734,146502841,413749416,2215249921,106745745624,

%U 535943978041,1178633701706,1714577679747,8036944420694,9751522100441,27539988621576,147451465208321

%N Numerators of continued fraction convergents to sqrt(585).

%H Vincenzo Librandi, <a href="/A042120/b042120.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 (0,0,0,0,0,0,0,66562,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -24*x^14 +121*x^13 -266*x^12 +387*x^11 -1814*x^10 +2201*x^9 -6216*x^8 -33281*x^7 -6216*x^6 -2201*x^5 -1814*x^4 -387*x^3 -266*x^2 -121*x -24) / ((x^4 -16*x^2 -1)*(x^4 +16*x^2 -1)*(x^8 +258*x^4 +1)). - _Colin Barker_, Dec 02 2013

%t Numerator/@Convergents[Sqrt[585], 30] (* _Harvey P. Dale_, May 05 2011 *)

%Y Cf. A042121, A040560.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 02 2013

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)