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!)
A042740 Numerators of continued fraction convergents to sqrt(901). 3

%I #29 Dec 26 2023 07:03:50

%S 30,1801,108090,6487201,389340150,23366896201,1402403112210,

%T 84167553628801,5051455620840270,303171504804045001,

%U 18195341743863540330,1092023676136616464801,65539615909940851428390,3933468978272587702168201,236073678312265202981520450,14168354167714184766593395201

%N Numerators of continued fraction convergents to sqrt(901).

%H Vincenzo Librandi, <a href="/A042740/b042740.txt">Table of n, a(n) for n = 0..200</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (60,1).

%F From _Philippe Deléham_, Nov 23 2008: (Start)

%F a(n) = 60*a(n-1)+a(n-2) for n>1, a(0)=30, a(1)=1801.

%F G.f.: (30+x)/(1-60*x-x^2). (End)

%F E.g.f.: exp(30*x)*(30*cosh(sqrt(901)*x) + sqrt(901)*sinh(sqrt(901)*x)). - _Stefano Spezia_, May 14 2023

%t Numerator[Convergents[Sqrt[901], 30]] (* _Vincenzo Librandi_, Dec 03 2013 *)

%Y Cf. A042741.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_

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 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)