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A023677 Value of x corresponding to the minimal solution of the Pell equation x^2+d*y^2, as d runs through the squarefree numbers. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

M. Pohst and H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge Univ. Press, 1989, p. 432.

LINKS

A. Jasinski, Table of n, a(n) for n=1..10000

MATHEMATICA

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*)

CROSSREFS

For y values see A023678.

Sequence in context: A082635 A166623 A094510 * A108599 A108590 A109233

Adjacent sequences:  A023674 A023675 A023676 * A023678 A023679 A023680

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Better definition from Artur Jasinski, Oct 23 2010

STATUS

approved

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Last modified January 22 23:00 EST 2019. Contains 319365 sequences. (Running on oeis4.)