A238199 Sorted absolute value of discriminant of the polynomials x^n +- x^m +- 1, where 0 < m < n.

3, 5, 23, 31, 144, 229, 283, 400, 2869, 3017, 3233, 3381, 19683, 33856, 43531, 49781, 61504, 91125, 776887, 811043, 816631, 830455, 836043, 870199, 5308416, 13424896, 15953673, 16692841, 16861591, 17600759, 20502784, 40960000, 239483061, 370643273

Offset

1,1

Links

T. D. Noe, Table of n, a(n) for n = 1..5000

David W. Boyd, Greg Martin, and Mark Thom, Squarefree values of trinomial discriminants, arXiv 1402.5148 [math.NT], 2014.

William Craig, Cubefree Trinomial Discriminants, arXiv:1901.03653 [math.NT], 2019.

Mathematica

Table[Discriminant[x^n + u x^m + v, x] // Abs, {n, 2, 9}, {m, 1, n-1}, {u, {-1, 1}}, {v, {-1, 1}}] // Flatten // Union (* Jean-François Alcover, Dec 04 2018 *)

Crossrefs

Cf. A238195 (discriminant of x^n - x^m - 1).

Cf. A238196 (discriminant of x^n + x^m - 1).

Cf. A238197 (discriminant of x^n + x^m + 1).

Cf. A238198 (discriminant of x^n - x^m + 1).

Sequence in context: A106282 A163153 A339414 * A296927 A215132 A091157

Adjacent sequences: A238196 A238197 A238198 * A238200 A238201 A238202

Keyword

nonn

Author

T. D. Noe, Feb 24 2014

Status

approved