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A228537
x-values in the solution to the Pell equation x^2 - 58*y^2 = -1.
2
99, 3881493, 152177814459, 5966283389798061, 233914106428244965107, 9170836450659488712186981, 359551813650641808021757811979, 14096588396816226274641548064261693, 552670844326025153672954725385686123779, 21668013108549553778085636688829662104617781
OFFSET
1,1
COMMENTS
All terms are multiples of 99.
FORMULA
a(n) = 39206*a(n-1)-a(n-2).
G.f.: 99*x*(x+1) / (x^2-39206*x+1).
MATHEMATICA
LinearRecurrence[{39206, -1}, {99, 3881493}, 20] (* Harvey P. Dale, Aug 25 2017 *)
PROG
(PARI) Vec(99*x*(x+1)/(x^2-39206*x+1) + O(x^50))
CROSSREFS
Cf. A228538 gives the corresponding y-values.
Sequence in context: A233236 A233110 A233214 * A093211 A010114 A287284
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Aug 24 2013
STATUS
approved