login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A174769 x-values in the solution to x^2 - 29*y^2 = 1. 2
1, 9801, 192119201, 3765920568201, 73819574785756801, 1447011301184484245001, 28364315451998685384752801, 555997310043066929727440160201, 10898659243099882504518596635507201 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The corresponding values of y of this Pell equation are in A174770.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (19602,-1).

FORMULA

a(n) = 19602*a(n-1)-a(n-2) with a(1)=1, a(2)=9801.

G.f.: x*(1-9801*x)/(1-19602*x+x^2).

MATHEMATICA

LinearRecurrence[{19602, -1}, {1, 9801}, 30]

PROG

(MAGMA) I:=[1, 9801]; [n le 2 select I[n] else 19602*Self(n-1)-Self(n-2): n in [1..20]];

CROSSREFS

Cf. A174770.

Sequence in context: A227489 A113937 A036353 * A031597 A031777 A237064

Adjacent sequences:  A174766 A174767 A174768 * A174770 A174771 A174772

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 14 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 26 00:59 EST 2020. Contains 332270 sequences. (Running on oeis4.)