A123276 Discriminant of the Chebyshev polynomial of first kind of degree 2^n.

1, 8, 131072, 9444732965739290427392, 994646472819573284310764496293641680200912301594695434880927953786318994025066751066112

Offset: 0

Author

Benoit Cloitre, Oct 10 2006

Keywords

• nonn

Comments

Next term is too large to include.

Links

• Amiram Eldar, Table of n, a(n) for n = 0..5

Crossrefs

Cf. A007701.

Programs

Mathematica

a[n_] := 2^(4^n + (n+1) * 2^n - 3 * 2^n+1); Array[a, 5, 0] (* Amiram Eldar, May 08 2025 *)

PARI

a(n)=2^(4^n+(n+1)*2^n-3*2^n+1);

PARI

a(n) = poldisc(polchebyshev(2^n, 1)); \\ Michel Marcus, Mar 02 2023

Formula

a(n) = 2^(4^n+(n+1)*2^n-3*2^n+1).