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A174769
x-values in the solution to x^2 - 29*y^2 = 1.
2
1, 9801, 192119201, 3765920568201, 73819574785756801, 1447011301184484245001, 28364315451998685384752801, 555997310043066929727440160201, 10898659243099882504518596635507201
OFFSET
1,2
COMMENTS
The corresponding values of y of this Pell equation are in A174770.
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: A350918 A113937 A036353 * A031597 A031777 A237064
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Apr 14 2010
STATUS
approved