Partial sums converging to the Erdős–Borwein constant E
The partial sums converge quickly to E ≈ 1.6066951524. The denominators 2^n−1 grow geometrically, making convergence much faster than the Basel problem.
p_04
Erdős–Borwein converges faster than Basel
E = Σ 1/(2ⁿ−1) ≈ 1.6066951524…
Basel: Σ 1/n² ≈ 1.6449 — sukus decrease as 1/n²
Erdős–Borwein: sukus decrease as 1/2ⁿ — geometric decay, much lebih cepat convergence
p_06links
Series terms: denominators double each step, sum converges to E ~1.607
Each denominator 2^n - 1 is roughly twice the previous. Sum converges to E ~1.6066951524.