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A228546
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x-values in the solution to the Pell equation x^2 - 74*y^2 = -1.
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2
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43, 318157, 2353725443, 17412860509157, 128820339693018043, 953012855636086972957, 7050388977175431732917843, 52158776700130988324039229557, 385870622977180074445810487344843, 2854670816626401490619117661337918957
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OFFSET
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1,1
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COMMENTS
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All terms are multiples of 43.
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LINKS
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FORMULA
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a(n) = 7398*a(n-1)-a(n-2).
G.f.: 43*x*(x+1) / (x^2-7398*x+1).
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MATHEMATICA
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LinearRecurrence[{7398, -1}, {43, 318157}, 10] (* Harvey P. Dale, Oct 13 2017 *)
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PROG
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(PARI) Vec(43*x*(x+1)/(x^2-7398*x+1) + O(x^30))
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CROSSREFS
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Cf. A228547 gives the corresponding y-values.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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