OFFSET
0,1
LINKS
W. Edwin Clark and Mark Shattuck, The Integer Sequence Transform a --> b where b_n is the Number of Real Roots of the Polynomial a_0 + a_1 x + a_2 x^2 + ... + a_n x^n, arXiv:2107.05572 [math.CO], 2021.
Mathematics Stack Exchange, An interesting observation on the roots of certain polynomials, March 2021.
User "Linear Christmas" in Stack Exchange comments, Graph of P(x,2436), Mar 18 2021.
EXAMPLE
-0.9966435137376729278202858884333768134513389514151775806...
PROG
(PARI) P(m, x)=sum(k=0, m, prime(k+1)*x^k);
d(m, y)=derivnum(x=y, P(m, x));
solve(x=-0.9967, -0.9966, d(2436, x))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Hugo Pfoertner, Jul 18 2021
STATUS
approved