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A346442
Decimal expansion, negated, of the location of the first occurrence of a negative minimum of the function P(x,m) = Sum_{k=1..m} prime(k)*x^(k-1), with m chosen such that P(x) has 2 real zeros, which occurs for m = 2436. The corresponding function value is A346443.
4
9, 9, 6, 6, 4, 3, 5, 1, 3, 7, 3, 7, 6, 7, 2, 9, 2, 7, 8, 2, 0, 2, 8, 5, 8, 8, 8, 4, 3, 3, 3, 7, 6, 8, 1, 3, 4, 5, 1, 3, 3, 8, 9, 5, 1, 4, 1, 5, 1, 7, 7, 5, 8, 0, 6, 0, 6, 2, 9, 2, 8, 8, 4, 9, 3, 9, 5, 7, 5, 9, 2, 8, 9, 2, 1, 0, 9, 8, 5, 5, 3, 6, 5, 2, 9, 3, 8, 4, 6, 6, 8, 2, 3, 7, 3, 3
OFFSET
0,1
LINKS
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
Positions of neighboring zeros: A346444, A346445.
Sequence in context: A157293 A346445 A146487 * A195790 A346444 A085984
KEYWORD
nonn,cons
AUTHOR
Hugo Pfoertner, Jul 18 2021
STATUS
approved