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A002769
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Discriminants of totally real quartic fields.
(Formerly M5475 N2371)
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1
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725, 1125, 1600, 2000, 2048, 2225, 2304, 2525, 2624, 3600, 4205, 4225, 4352, 4400, 4525, 4752, 4913, 5125, 5225, 5725, 6125, 7056, 7168, 7225, 7232, 7488, 7600, 7625, 8000, 8112, 8525, 8725, 8768, 8957, 9225, 9248, 9792, 10025, 10304, 10309, 10512
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Differs from A023680 in that 1957, 2777, 3981, 5744, 6224, 6809, 7053, 7537, 8069, 8468, 8789, 9301, 9909, 10273, 10889, 11197 11324, 11344, 11348, representing fields with no subfield, are not included here. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 31 2010]
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REFERENCES
| H. J. Godwin, Real quartic fields with small discriminant, J. London Math. Soc., 31 (1956), 478-485.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| H. Cohen, F. Diaz y Diaz, M. Olivier, Constructing complete Kummer tables of quartic fields using Kummer theory, Math. Comp. 72 (242) (2003) 941-951 [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 31 2010]
H. J. Godwin, Real quartic fields with small discriminant, J. Lond. Math. Soc. s1-31 (1956) 478-485 [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 31 2010]
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CROSSREFS
| What is the difference between this and A023680? - N. J. A. Sloane (njas(AT)research.att.com).
Sequence in context: A035756 A107552 A023680 * A185527 A084412 A090268
Adjacent sequences: A002766 A002767 A002768 * A002770 A002771 A002772
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KEYWORD
| nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 31 2010
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