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!)
A042895 Denominators of continued fraction convergents to sqrt(979). 2

%I #20 Jun 26 2022 23:52:25

%S 1,3,7,38,45,218,263,1533,3329,11520,717569,2164227,5046023,27394342,

%T 32440365,157155802,189596167,1105136637,2399869441,8304744960,

%U 517294056961,1560186915843,3637667888647,19748526359078,23386194247725,113293303349978,136679497597703

%N Denominators of continued fraction convergents to sqrt(979).

%H Vincenzo Librandi, <a href="/A042895/b042895.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 720898, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^18 - 3*x^17 + 7*x^16 - 38*x^15 + 45*x^14 - 218*x^13 + 263*x^12 - 1533*x^11 + 3329*x^10 - 11520*x^9 - 3329*x^8 - 1533*x^7 - 263*x^6 - 218*x^5 - 45*x^4 - 38*x^3 - 7*x^2 - 3*x - 1) / (x^20 - 720898*x^10 + 1). - _Colin Barker_, Dec 25 2013

%F a(n) = 720898*a(n-10) - a(n-20) for n > 19. - _Vincenzo Librandi_, Feb 01 2014

%t Denominator[Convergents[Sqrt[979], 30]] (* _Vincenzo Librandi_, Feb 01 2014 *)

%Y Cf. A042894, A040947.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Colin Barker_, Dec 25 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 March 29 11:45 EDT 2024. Contains 371278 sequences. (Running on oeis4.)