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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 (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..56.

S. R. Finch, Class number theory

MATHEMATICA

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

CROSSREFS

Cf. A053370-A053375.

Sequence in context: A267381 A061655 A009830 * A227050 A093876 A322334

Adjacent sequences:  A053371 A053372 A053373 * A053375 A053376 A053377

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane, Jan 06 2000

STATUS

approved

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Last modified January 16 03:30 EST 2019. Contains 319184 sequences. (Running on oeis4.)