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!)
A041522 Numerators of continued fraction convergents to sqrt(278). 2

%I #12 Jun 13 2015 00:49:25

%S 16,17,50,817,1684,2501,81716,84217,250150,4086617,8423384,12510001,

%T 408743416,421253417,1251250250,20441257417,42133765084,62575022501,

%U 2044534485116,2107109507617,6258753500350,102247165513217,210753084526784,313000250040001

%N Numerators of continued fraction convergents to sqrt(278).

%H Vincenzo Librandi, <a href="/A041522/b041522.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 (0,0,0,0,0,5002,0,0,0,0,0,-1).

%F G.f.: -(x^11 -16*x^10 +17*x^9 -50*x^8 +817*x^7 -1684*x^6 -2501*x^5 -1684*x^4 -817*x^3 -50*x^2 -17*x -16) / (x^12 -5002*x^6 +1). - _Colin Barker_, Nov 08 2013

%t Numerator[Convergents[Sqrt[278], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)

%Y Cf. A041523.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 08 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 September 4 10:22 EDT 2024. Contains 375681 sequences. (Running on oeis4.)