

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. 251257. 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



