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!)
A228554 x-values in the solution to the Pell equation x^2 - 85*y^2 = -1. 2

%I #14 Jul 10 2019 11:34:49

%S 378,216041742,123476065138818,70571263317093720342,

%T 40334158693601634671687178,23052504391353119813669652619422,

%U 13175382254784845233371524284127523858,7530231623112168370599341126488007078134182

%N x-values in the solution to the Pell equation x^2 - 85*y^2 = -1.

%C All terms are multiples of 378.

%H Colin Barker, <a href="/A228554/b228554.txt">Table of n, a(n) for n = 1..150</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (571538,-1).

%F a(n) = 571538*a(n-1)-a(n-2).

%F G.f.: 378*x*(x+1) / (x^2-571538*x+1).

%t LinearRecurrence[{571538,-1},{378,216041742},20] (* _Harvey P. Dale_, Jul 10 2019 *)

%o (PARI) Vec(378*x*(x+1)/(x^2-571538*x+1) + O(x^30))

%Y Cf. A228555 gives the corresponding y-values.

%K nonn,easy

%O 1,1

%A _Colin Barker_, Aug 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 25 09:38 EDT 2024. Contains 371967 sequences. (Running on oeis4.)