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A053375 Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of y for n == 3 mod 4. 6
1, 3, 3, 1, 39, 5, 273, 1, 4, 531, 7, 7, 12, 69, 5967, 413, 9, 9, 3, 165, 4, 22419, 93, 28, 105, 11, 11, 419775, 927, 6578829, 1, 140634693, 20, 105, 5019135, 13, 313191, 36, 123, 650783, 1, 1153080099, 4, 19162705353, 3, 5, 15, 15, 5, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Entries are indexed by values of n from A039957.

REFERENCES

R. A. Mollin, Quadratics, CRC Press, 1996, Tables B1-B3.

LINKS

Table of n, a(n) for n=0..49.

S. R. Finch, Class number theory

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

MATHEMATICA

A039957 = Select[ Range[250], SquareFreeQ[#] && Mod[#, 4] == 3 & ]; A053375 = (NumberFieldFundamentalUnits[ Sqrt[#]][[1, 2, 2]] & ) /@ A039957 (* Jean-Fran├žois Alcover, Jan 04 2012 *)

CROSSREFS

Cf. A053370-A053375.

Sequence in context: A117262 A065431 A271082 * A117252 A332498 A181407

Adjacent sequences:  A053372 A053373 A053374 * A053376 A053377 A053378

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane, Jan 06 2000

STATUS

approved

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Last modified April 1 10:33 EDT 2020. Contains 333159 sequences. (Running on oeis4.)