A238199 - OEIS

%I #17 Jan 14 2019 03:09:56

%S 3,5,23,31,144,229,283,400,2869,3017,3233,3381,19683,33856,43531,

%T 49781,61504,91125,776887,811043,816631,830455,836043,870199,5308416,

%U 13424896,15953673,16692841,16861591,17600759,20502784,40960000,239483061,370643273

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

%H T. D. Noe, <a href="/A238199/b238199.txt">Table of n, a(n) for n = 1..5000</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 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 *)

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

%K nonn

%O 1,1

%A _T. D. Noe_, Feb 24 2014