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Omni-MATH / Fix an integer b≥2. Let f(1)=1, f(2)=2, and for each n≥3, define f(n)=nf(d), where d is the number of base-b digits of n. For which values of b does ∑_(n=1)^(∞)(1)/(f(n)) converge? · Discussion

Discussing Fix an integer b≥2. Let f(1)=1, f(2)=2, and for each n≥3, define f(n)=nf(d), where d is the number of base-b digits of n. For which values of b does ∑_(n=1)^(∞)(1)/(f(n)) converge? · Omni-MATH

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