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A053375
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Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of y for n == 3 mod 4.
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6
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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; internal format)
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OFFSET
| 0,2
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COMMENTS
| Entries are indexed by values of n from A039957.
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REFERENCES
| R. A. Mollin, Quadratics, CRC Press, 1996, Tables B1-B3.
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LINKS
| S. R. Finch, Class number theory
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MATHEMATICA
| A039957 = Select[ Range[250], SquareFreeQ[#] && Mod[#, 4] == 3 & ]; A053375 = (NumberFieldFundamentalUnits[ Sqrt[#]][[1, 2, 2]] & ) /@ A039957 (* From Jean-François Alcover, Jan 04 2012 *)
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CROSSREFS
| Cf. A053370-A053375.
Sequence in context: A174031 A117262 A065431 * A117252 A181407 A016037
Adjacent sequences: A053372 A053373 A053374 * A053376 A053377 A053378
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 06 2000
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