A238196 Triangle of the discriminant of the polynomials x^n + x^m - 1, where 0 < m < n.

5, -31, -23, -283, -400, -283, 3381, 3017, 3233, 2869, 49781, 61504, 91125, 33856, 49781, -870199, -811043, -830455, -816631, -836043, -776887, -17600759, -20502784, -16861591, -40960000, -16861591, -20502784, -17600759, 404197705, 384126317, 586376253

Offset

1,1

Comments

Boyd et al. mention these numbers.

Links

T. D. Noe, Rows n = 1..100 of triangle, 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}]]

Prog

(PARI) {T(n, m) = if( m<=0 || m>=n, 0, poldisc( x^n + x^m - 1))}; /* Michael Somos, Feb 24 2014 */

Crossrefs

Cf. A238195 (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).

Cf. A238199 (union).

Sequence in context: A299129 A255677 A256153 * A352347 A172030 A042837

Adjacent sequences: A238193 A238194 A238195 * A238197 A238198 A238199

Keyword

sign,tabl

Author

T. D. Noe, Feb 24 2014

Status

approved