
Harmonic number
Sum of the first n whole number reciprocals; 1/1 + 1/2 + 1/3 + ... + 1/n

Sum of the first n whole number reciprocals; 1/1 + 1/2 + 1/3 + ... + 1/n
In mathematics, the n-th harmonic number is the sum of the reciprocals of the first n natural numbers: H n = 1 + 1 2 + 1 3 + ⋯ + 1 n = ∑ k = 1 n 1 k . {\displaystyle H_{n}=1+{\frac {1}{2}}+{\frac {1}{3}}+\cdots +{\frac {1}{n}}=\sum _{k=1}^{n}{\frac {1}{k}}.} Starting from n = 1, the sequence of harmonic numbers begins: 1 , 3 2 ,...
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