A053372 Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of x for n == 3 mod 4.

2, 8, 10, 4, 170, 24, 1520, 6, 25, 3482, 48, 50, 89, 530, 48842, 3480, 80, 82, 28, 1574, 39, 227528, 962, 295, 1126, 120, 122, 4730624, 10610, 77563250, 12, 1728148040, 249, 1324, 64080026, 168, 4190210, 487, 1682, 8994000, 14

Offset

0,1

Comments

Entries are indexed by values of n from A039957.

References

R. A. Mollin, Quadratics, CRC Press, 1996, Tables B1-B3.

Links

Table of n, a(n) for n=0..40.

S. R. Finch, Class number theory

Steven R. Finch, Class number theory [Cached copy, with permission of the author]

Mathematica

NumberFieldFundamentalUnits[ Sqrt[#] ][[1, 2, 1]] & /@ Select[Range[3, 195, 4], SquareFreeQ ] (* Jean-François Alcover, Jul 09 2013 *)

Crossrefs

Cf. A053370-A053375.

Sequence in context: A109351 A111134 A036898 * A088155 A005876 A139370

Adjacent sequences: A053369 A053370 A053371 * A053373 A053374 A053375

Keyword

nonn,easy,nice

Author

N. J. A. Sloane, Jan 06 2000

Status

approved