OFFSET
2,1
COMMENTS
The first five fractions are 5/7, 21/26, 6/7, 55/62, 39/43; the sequence of fractions is strictly increasing with limit 1.
Conjecture: the sequence of fractions is completely monotonic.
MATHEMATICA
t = Table[Sum[Cos[2 k Pi/3]/n^k, {k, 0, Infinity}], {n, 2, 60}]
Denominator[t]
Numerator[t]
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Clark Kimberling, Jul 22 2024
STATUS
approved