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!)
A042857 Denominators of continued fraction convergents to sqrt(959). 2

%I #16 Sep 08 2022 08:44:55

%S 1,1,30,31,1890,1921,57599,59520,3628799,3688319,110590050,114278369,

%T 6967292190,7081570559,212332838401,219414408960,13377197376001,

%U 13596611784961,407678939139870,421275550924831,25684211994629730,26105487545554561,782743350815711999

%N Denominators of continued fraction convergents to sqrt(959).

%H Vincenzo Librandi, <a href="/A042857/b042857.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 1920, 0, 0, 0, -1).

%F G.f.: -(x^2-x-1)*(x^4+31*x^2+1) / (x^8-1920*x^4+1). - _Colin Barker_, Dec 25 2013

%F a(n) = 1920*a(n-4) - a(n-8) for n>7. - _Vincenzo Librandi_, Dec 25 2013

%t Denominator[Convergents[Sqrt[959], 30]] (* _Vincenzo Librandi_, Dec 25 2013 *)

%o (Magma) I:=[1,1,30,31,1890,1921,57599,59520]; [n le 8 select I[n] else 1920*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 25 2013

%Y Cf. A042856, A040928.

%K nonn,frac,easy

%O 0,3

%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 April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)