The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 0
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 (list; graph; refs; listen; history; text; internal format)
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
NumberFieldFundamentalUnits[ Sqrt[#] ][[1, 2, 1]] & /@ Select[Range[2, 210, 2], SquareFreeQ] (* Jean-François Alcover, Jul 09 2013 *)
CROSSREFS
Sequence in context: A211943 A189237 A301494 * A199005 A217415 A213571
KEYWORD
nonn,easy,nice
AUTHOR
N. J. A. Sloane, Jan 06 2000
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 22 19:48 EDT 2024. Contains 372758 sequences. (Running on oeis4.)