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

0,2

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..56.

S. R. Finch, Class number theory

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

Mathematica

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

Crossrefs

Cf. A053370-A053375.

Sequence in context: A267381 A061655 A009830 * A355517 A227050 A093876

Adjacent sequences: A053371 A053372 A053373 * A053375 A053376 A053377

Keyword

nonn,easy,nice

Author

N. J. A. Sloane, Jan 06 2000

Status

approved