OFFSET
1,6
COMMENTS
Conjecture 1: After the initial zero, the positions of other zeros is given by A036785.
Conjecture 2: No negative terms. Checked up to n = 2^24.
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..10000
Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537
FORMULA
Dirichlet g.f.: Product_{p prime} (1+p^(1-s)-p^(-s)) * Sum_{p prime} p^s/((p^s-1)*(p^s+p-1)). - Sebastian Karlsson, May 08 2022
Sum_{k=1..n} a(k) ~ c * A065464 * n^2 / 2, where c = Sum_{j>=2} (1/2 + (-1)^j * (Fibonacci(j) - 1/2))*PrimeZetaP(j) = 0.4526952873143153104685540856936425315834753528741817723313791528384... - Vaclav Kotesovec, Mar 04 2023
PROG
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Aug 26 2021
STATUS
approved