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!)
A041662 Numerators of continued fraction convergents to sqrt(350). 2

%I #12 Jun 13 2015 00:49:36

%S 18,19,56,131,318,449,16482,16931,50344,117619,285582,403201,14800818,

%T 15204019,45208856,105621731,256452318,362074049,13291118082,

%U 13653192131,40597502344,94848196819,230293895982,325142092801,11935409236818,12260551329619

%N Numerators of continued fraction convergents to sqrt(350).

%H Vincenzo Librandi, <a href="/A041662/b041662.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 (0,0,0,0,0,898,0,0,0,0,0,-1).

%F G.f.: -(x^11 -18*x^10 +19*x^9 -56*x^8 +131*x^7 -318*x^6 -449*x^5 -318*x^4 -131*x^3 -56*x^2 -19*x -18) / ((x^6 -30*x^3 +1)*(x^6 +30*x^3 +1)). - _Colin Barker_, Nov 09 2013

%t Numerator[Convergents[Sqrt[350], 30]] (* _Vincenzo Librandi_, Nov 06 2013 *)

%Y Cf. A041663.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 09 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 May 4 13:21 EDT 2024. Contains 372243 sequences. (Running on oeis4.)