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A228521
x-values in the solution to the Pell equation x^2 - 29*y^2 = -1.
2
70, 1372210, 26898060350, 527255777608490, 10335267725783560630, 202591917433553577860770, 3971206755197249507443252910, 77843594612784567411349065681050, 1525890137628596335200014878036689190, 29910498399952150749806124227926115821330
OFFSET
1,1
FORMULA
a(n) = 19602*a(n-1)-a(n-2).
G.f.: 70*x*(x+1) / (x^2-19602*x+1).
MATHEMATICA
LinearRecurrence[{19602, -1}, {70, 1372210}, 20] (* Harvey P. Dale, Nov 18 2024 *)
PROG
(PARI) Vec(70*x*(x+1)/(x^2-19602*x+1) + O(x^100))
CROSSREFS
Cf. A228522 gives the corresponding y-values.
Sequence in context: A172659 A172759 A172829 * A222746 A066789 A103165
KEYWORD
nonn,easy,changed
AUTHOR
Colin Barker, Aug 24 2013
STATUS
approved