The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A174757 x-values in the solution to x^2-53*y^2=1. 2

%I #10 Sep 08 2022 08:45:51

%S 1,66249,8777860001,1163048894346249,154101652394311440001,

%T 20418160737778428282906249,2705365461280064538234200740001,

%U 358455512868267830449176701365746249

%N x-values in the solution to x^2-53*y^2=1.

%C The corresponding values of y of this Pell equation are in A174983.

%H Vincenzo Librandi, <a href="/A174757/b174757.txt">Table of n, a(n) for n = 1..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (132498,-1).

%F a(n) = 132498*a(n-1)-a(n-2) with a(1)=1, a(2)=66249.

%F G.f.: x*(1-66249*x)/(1-132498*x+x^2)

%t LinearRecurrence[{132498,-1},{1,66249},30]

%o (Magma) I:=[1, 66249]; [n le 2 select I[n] else 132498*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A174983.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 13 2010

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 May 27 11:52 EDT 2024. Contains 372858 sequences. (Running on oeis4.)