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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.
0
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
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
KEYWORD
nonn,easy,nice
AUTHOR
N. J. A. Sloane, Jan 06 2000
STATUS
approved