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!)
A228535 x-values in the solution to the Pell equation x^2 - 53*y^2 = -1. 2
182, 24114818, 3195165155182, 423352992707189818, 56093424824522071350182, 7432266601976172417049224818, 984760460172545468089666118585182, 130478791444509662828968408963250219818, 17288178907829880845340110782723061506860182 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All terms are multiples of 182.
LINKS
FORMULA
a(n) = 132498*a(n-1)-a(n-2).
G.f.: 182*x*(x+1) / (x^2-132498*x+1).
MATHEMATICA
CoefficientList[Series[182 (x + 1) / (x^2 - 132498 x + 1), {x, 0, 10}], x] (* Vincenzo Librandi, Aug 25 2013 *)
LinearRecurrence[{132498, -1}, {182, 24114818}, 20] (* Harvey P. Dale, Nov 07 2022 *)
PROG
(PARI) Vec(182*x*(x+1)/(x^2-132498*x+1) + O(x^50))
CROSSREFS
Cf. A228536 gives the corresponding y-values.
Sequence in context: A190830 A145525 A028676 * A248628 A217608 A264779
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Aug 24 2013
STATUS
approved

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 14 02:27 EDT 2024. Contains 373392 sequences. (Running on oeis4.)