A053374 Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of y for n == 2 mod 4.

1, 2, 1, 4, 42, 1, 2, 6, 6, 2, 3588, 13, 8, 8, 30, 5, 6, 1, 1122, 221064, 10, 389, 2, 96, 28254, 1, 5, 12606, 4, 12, 12, 1716, 616, 132015642, 1, 110, 120, 2, 550, 3774, 14, 221, 4148, 2, 47533775646, 17, 10, 1, 6, 756, 5662, 16, 16, 6485718, 42, 85, 150

Offset: 0

Author

N. J. A. Sloane, Jan 06 2000

Keywords

• nonn
• easy
• nice

Comments

Entries are indexed by values of n from A039956.

References

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

Links

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

Crossrefs

Cf. A053370-A053375.

Programs

Mathematica

sf = Select[2*Range[0, 139], SquareFreeQ]; NumberFieldFundamentalUnits[Sqrt[#]][[1, 2, 2]]& /@ sf (* Jean-François Alcover, May 31 2013 *)