

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
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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 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. 251257. Mathematical Reviews, MR2312537. Zentralblatt MATH, Zbl 1133.11012.
Eric Weisstein's World of Mathematics, Polynomial Discriminant


CROSSREFS

Sequence in context: A337759 A207638 A286095 * A006832 A250074 A247678
Adjacent sequences: A106308 A106309 A106310 * A106312 A106313 A106314


KEYWORD

nonn


AUTHOR

T. D. Noe, May 17 2005


STATUS

approved



