OFFSET
2,2
COMMENTS
The first five fractions are 1/1, 15/14, 14/13, 15/14, 33/31; beginning at 14/13 the sequence of fractions is strictly decreasing with limit 1.
MATHEMATICA
t = Table[Sum[Cos[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