A106312 - OEIS

A106312

Possible negative values of the discriminant of irreducible monic integral cubic polynomials.

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

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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: A133659 A309354 A240725 * A023679 A187773 A328825

Adjacent sequences: A106309 A106310 A106311 * A106313 A106314 A106315

KEYWORD

nonn

AUTHOR

T. D. Noe, May 17 2005

STATUS

approved