Problem #45
One of Us
Let a(n) be defined as the number of terms in the sequence 2^1, 2^2, ... 2^n which begin with digit 1.
Find \lim_{n \to \infty} (\frac{a(n)}{n})
Give your answer as the largest integer after multiplying by 10^6.
Let a(n) be defined as the number of terms in the sequence 2^1, 2^2, ... 2^n which begin with digit 1.
Find \lim_{n \to \infty} (\frac{a(n)}{n})
Give your answer as the largest integer after multiplying by 10^6.