OEIS A000146: Bernoulli numbers, primes, and the von Staudt–Clausen magic

An in-depth look at OEIS A000146, the integer sequence defined by a_n = B_{2n} + sum_{p: p−1 | 2n} 1/p. We explain Bernoulli numbers, the von Staudt–Clausen theorem on denominators, the prime-filter that makes a_n always an integer, and walk through a listener’s Python script that generates the terms.

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