OFFSET
2,1
COMMENTS
The sum converges rapidly to 1/2; S(100) = 0.4992..., S(500) = 0.49995....
EXAMPLE
First few fractions are 1/4, 1/3, 7/18, 9/22, 13/30, 4/9, 5/11, 23/50, 7/15, ...
PROG
(PARI) a(n) = denominator(sum(k=2, n, (primepi((k+1)^2) - primepi(k^2))/(primepi((k+1)^2)*primepi(k^2)))); \\ Michel Marcus, Aug 15 2022
CROSSREFS
KEYWORD
nonn,frac,less
AUTHOR
Daniel Tisdale, Jun 21 2009
EXTENSIONS
Offset 2 and more terms from Michel Marcus, Aug 15 2022
STATUS
approved