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