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A106311 Possible positive values of the discriminant of irreducible monic integral cubic polynomials. 0
49, 81, 148, 169, 229, 257, 316, 321, 361, 404, 469, 473, 564, 568, 592, 621, 697, 729, 733, 756, 761, 785, 788, 837, 892, 916, 940, 985, 993, 1016, 1076, 1101, 1129, 1229, 1257, 1264, 1300, 1304, 1345, 1369, 1373, 1384, 1396, 1425, 1436, 1489, 1492, 1509 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

These discriminants were found by examining all irreducible integral cubic polynomials x^3+ax^2+bx+c for a,b,c in [ -30,30]. Closely related to A006832, discriminants of totally real cubic fields.

LINKS

Table of n, a(n) for n=1..48.

Mohammad K. Azarian, On the Hyperfactorial Function, Hypertriangular Function, and the Discriminants of Certain Polynomials, International Journal of Pure and Applied Mathematics, Vol. 36, No. 2, 2007, pp. 251-257.  Mathematical Reviews, MR2312537.  Zentralblatt MATH, Zbl 1133.11012.

Eric Weisstein's World of Mathematics, Polynomial Discriminant

CROSSREFS

Sequence in context: A267986 A207638 A286095 * A006832 A250074 A247678

Adjacent sequences:  A106308 A106309 A106310 * A106312 A106313 A106314

KEYWORD

nonn

AUTHOR

T. D. Noe, May 17 2005

STATUS

approved

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Last modified September 23 15:54 EDT 2017. Contains 292361 sequences.