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!)
A041243 Denominators of continued fraction convergents to sqrt(133). 2

%I #11 Jul 16 2023 14:59:16

%S 1,1,2,15,77,92,169,261,691,952,1643,2595,14618,104921,119539,224460,

%T 5057659,5282119,10339778,77660565,398642603,476303168,874945771,

%U 1351248939,3577443649,4928692588,8506136237,13434828825,75680280362,543196791359,618877071721

%N Denominators of continued fraction convergents to sqrt(133).

%C Conjecture: satisfies a linear recurrence having signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5177198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1). - _Harvey P. Dale_, Dec 03 2022

%H Vincenzo Librandi, <a href="/A041243/b041243.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_32">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5177198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%t Denominator[Convergents[Sqrt[133], 30]] (* _Vincenzo Librandi_, Dec 13 2013 *)

%Y Cf. A041242.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Vincenzo Librandi_, Dec 13 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 June 27 14:31 EDT 2024. Contains 373745 sequences. (Running on oeis4.)