A053371 Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of x for n == 2 mod 4.

1, 5, 3, 15, 197, 5, 11, 35, 37, 13, 24335, 99, 63, 65, 251, 43, 53, 9, 10405, 2143295, 101, 4005, 21, 1025, 306917, 11, 57, 145925, 47, 143, 145, 21295, 7743, 1700902565, 13, 1451, 1601, 27, 7501, 52021, 195, 3141, 59535, 29

Offset

0,2

Comments

Entries are indexed by values of n from A039956.

References

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

Links

Table of n, a(n) for n=0..43.

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[2, 210, 2], SquareFreeQ] (* Jean-François Alcover, Jul 09 2013 *)

Crossrefs

Cf. A053370-A053375.

Sequence in context: A211943 A189237 A301494 * A199005 A217415 A213571

Adjacent sequences: A053368 A053369 A053370 * A053372 A053373 A053374

Keyword

nonn,easy,nice

Author

N. J. A. Sloane, Jan 06 2000

Status

approved