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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

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

S. R. Finch, Class number theory

MATHEMATICA

NumberFieldFundamentalUnits[ Sqrt[#] ][[1, 2, 1]] & /@ Select[Range[2, 210, 2], SquareFreeQ] (* Jean-Fran├žois 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

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Last modified January 20 14:40 EST 2019. Contains 319333 sequences. (Running on oeis4.)