A238198 Triangle of the discriminant of the polynomials x^n - x^m + 1, where 0 < m < n.

-3, -23, -23, 229, 144, 229, 2869, 3017, 3017, 2869, -43531, -33856, -19683, -33856, -43531, -776887, -811043, -816631, -816631, -811043, -776887, 15953673, 13424896, 16692841, 5308416, 16692841, 13424896, 15953673, 370643273, 384126317, 239483061, 386620489, 386620489, 239483061, 384126317, 370643273

Offset

2,1

Comments

Boyd et al. mention these numbers.

Links

T. D. Noe, Table of n, a(n) for n = 2..4951 (first 100 rows, flattened)

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

Flatten[Table[Discriminant[x^n - x^m + 1, x], {n, 2, 9}, {m, n - 1}]]

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. A238199 (union).

Sequence in context: A298885 A298657 A299609 * A178177 A353003 A124076

Adjacent sequences: A238195 A238196 A238197 * A238199 A238200 A238201

Keyword

sign,tabl

Author

T. D. Noe, Feb 24 2014

Extensions

Offset 2 from Michel Marcus, Mar 03 2023

Status

approved