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A238195 Triangle of the discriminant of the polynomials x^n - x^m - 1, where 0 < m < n. 5

%I #24 Mar 03 2023 08:06:02

%S 5,-23,-31,-283,-400,-283,2869,3233,3017,3381,49781,33856,91125,61504,

%T 49781,-776887,-836043,-816631,-830455,-811043,-870199,-17600759,

%U -20502784,-16861591,-40960000,-16861591,-20502784,-17600759,370643273,390714661,239483061,388220489,386620489,586376253,384126317,404197705

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

%C Boyd et al. mention these numbers.

%H T. D. Noe, <a href="/A238195/b238195.txt">Table of n, a(n) for n = 2..4951</a>

%H David W. Boyd, Greg Martin, and Mark Thom, <a href="http://arxiv.org/abs/1402.5148">Squarefree values of trinomial discriminants</a>, arXiv 1402.5148 [math.NT], 2014.

%H William Craig, <a href="https://arxiv.org/abs/1901.03653">Cubefree Trinomial Discriminants</a>, arXiv:1901.03653 [math.NT], 2019.

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

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

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

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

%Y Cf. A238199 (union).

%K sign,tabl

%O 2,1

%A _T. D. Noe_, Feb 24 2014

%E Offset 2 from _Michel Marcus_, Mar 03 2023

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)