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A106312 Possible negative values of the discriminant of irreducible monic integral cubic polynomials. 1
23, 31, 44, 59, 76, 83, 87, 104, 107, 108, 116, 135, 139, 140, 152, 172, 175, 176, 199, 200, 204, 211, 212, 216, 231, 236, 239, 243, 244, 247, 255, 268, 279, 283, 300, 304, 307, 324, 327, 331, 332, 335, 339, 351, 356, 364, 367, 379, 411, 416, 419, 424, 428 (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 A023679, discriminants of complex cubic fields.

LINKS

Table of n, a(n) for n=1..53.

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: A034962 A133659 A240725 * A023679 A187773 A107662

Adjacent sequences:  A106309 A106310 A106311 * A106313 A106314 A106315

KEYWORD

nonn

AUTHOR

T. D. Noe, May 17 2005

STATUS

approved

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Last modified June 17 22:17 EDT 2019. Contains 324200 sequences. (Running on oeis4.)