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A023677
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Value of x corresponding to the minimal solution of the Pell equation x^2+d*y^2, as d runs through the squarefree numbers.
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2
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1, 2, 1, 5, 8, 3, 10, 3, 15, 4, 4, 170, 5, 197, 24, 5, 5, 11, 1520, 23, 35, 6, 6, 37, 25, 32, 13, 3482, 24335, 48, 50, 7, 89, 151, 99, 530, 39, 63, 8, 65, 48842, 25, 251, 3480, 1068, 43, 9, 53, 80, 9, 82, 9
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OFFSET
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1,2
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REFERENCES
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M. Pohst and H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge Univ. Press, 1989, p. 432.
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LINKS
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MATHEMATICA
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aa = {}; bb = {}; w = 0; n = 2; While[w < 100, If[SquareFreeQ[n], w = w + 1; kk = Exp[NumberFieldRegulator[Sqrt[n]]]; If[kk[[1]] == 1/2, kk = Expand[2 kk]]; AppendTo[aa, kk[[1]]]; AppendTo[bb, kk[[2]]/Sqrt[n]]]; n++ ]; aa (*Artur Jasinski*)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Better definition from Artur Jasinski, Oct 23 2010
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STATUS
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approved
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