login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042617 Denominators of continued fraction convergents to sqrt(837). 2

%I

%S 1,1,14,29,391,420,23911,24331,340214,704759,9502081,10206840,

%T 581085121,591291961,8267880614,17127053189,230919572071,248046625260,

%U 14121530586631,14369577211891,200926034341214,416221645894319,5611807430967361,6028029076861680

%N Denominators of continued fraction convergents to sqrt(837).

%H Vincenzo Librandi, <a href="/A042617/b042617.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 24302, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^10-x^9+14*x^8-29*x^7+391*x^6-420*x^5-391*x^4-29*x^3-14*x^2-x-1) / ((x^4-29*x^2+1)*(x^8+29*x^6+840*x^4+29*x^2+1)). - _Colin Barker_, Dec 20 2013

%t Denominator[Convergents[Sqrt[837], 30]] (* _Vincenzo Librandi_, Jan 25 2014 *)

%Y Cf. A042616, A040808.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 20 2013

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 26 20:36 EDT 2020. Contains 337374 sequences. (Running on oeis4.)