A106311 Possible positive values of the discriminant of irreducible monic integral cubic polynomials.

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

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: A337759 A207638 A286095 * A006832 A343000 A343022

Adjacent sequences: A106308 A106309 A106310 * A106312 A106313 A106314

Keyword

nonn

Author

T. D. Noe, May 17 2005

Status

approved