A238197 Triangle of the discriminant of the polynomials x^n + x^m + 1, where 0 < m < n.

-3, -31, -31, 229, 144, 229, 3381, 3233, 3233, 3381, -43531, -61504, -19683, -61504, -43531, -870199, -836043, -830455, -830455, -836043, -870199, 15953673, 13424896, 16692841, 5308416, 16692841, 13424896, 15953673, 404197705, 390714661, 586376253, 388220489, 388220489, 586376253, 390714661, 404197705

Offset

2,1

Comments

Boyd et al. mention these numbers.

Links

T. D. Noe, Table of n, a(n) for n = 2..4951

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

Cf. A238199 (union).

Sequence in context: A090543 A215946 A139090 * A042477 A023297 A077546

Adjacent sequences: A238194 A238195 A238196 * A238198 A238199 A238200

Keyword

sign,tabl

Author

T. D. Noe, Feb 24 2014

Extensions

Offset 2 from Michel Marcus, Mar 03 2023

Status

approved