OFFSET
1,3
COMMENTS
The coefficient list for the minimal polynomials of 2*sin(2*Pi/n), called here MP(1; n, x), is given as A231188.
LINKS
Eric Weisstein's World of Mathematics, Polynomial Discriminant.
Eric Weisstein's World of Mathematics, Vandermonde Determinant.
FORMULA
EXAMPLE
n=5: MP(1; 5, x) = 5 - 5*x^2 + x^4 with the four zeros x[1] = +sqrt(2 + tau), x[2] = -sqrt(2 + tau), x[3] = +sqrt(3 - tau), x[4] = -sqrt(3 - tau), with the golden section tau := (1 + sqrt(5))/2. They produce the discriminant(MP(1; 5, x)) = (Det(Vandermonde(4,[x[1],x[2],x[3],x[4]]))^2 = (20*sqrt(5))^2 = 2000.
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Dec 12 2013
STATUS
approved