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Search: id:A046125
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| A046125 |
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Conjectured number of negative fundamental discriminants having class number n. |
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+0
3
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| 9, 18, 16, 54, 25, 51, 31, 131, 34, 87, 41, 206, 37, 95, 68, 322, 45, 150, 47, 350, 85, 139, 68, 511, 95, 190, 93, 457, 83, 255, 73, 708, 101, 219, 103, 668, 85, 237, 115, 912, 109, 339, 106, 691, 154, 268, 107, 1365, 132, 345, 159, 770, 114, 427, 163, 1205, 179, 291
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Most entries almost certain but not proved.
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REFERENCES
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Duncan A. Buell, Small class numbers and extreme values of L-functions of quadratic fields, Math. Comp., 31 (1977), 786-796.
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Index entries for sequences related to quadratic fields
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EXAMPLE
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a(1) = 9 because the discriminants {-3,-4,-7,-8,-11,-19,-43,-67,-163} are the only ones with class number 1.
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CROSSREFS
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Cf. A014602, A014603, A006203, A013658, A046002 through A046016, A048925, A056987, A081319, A038552.
Sequence in context: A109050 A103700 A158623 this_sequence A040072 A034728 A129855
Adjacent sequences: A046122 A046123 A046124 this_sequence A046126 A046127 A046128
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), May 13 2003
Corrected and extended by Dean Hickerson (dean.hickerson(AT)yahoo.com), May 20 2003. The values were obtained by transcribing and combining data from Tables 1-3 of Buell's paper, which has information for all values of n up to 125.
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