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Definition 2024

harmonic_number

harmonic number

English

Noun

harmonic number ‎(plural harmonic numbers)

(number theory) Any of a series of numbers formed from the sum of the reciprocals of consecutive natural numbers
The fourth harmonic number has a value of $H_{3}=\sum _{k=1}^{3}{\frac {1}{k}}={\frac {1}{1}}+{\frac {1}{2}}+{\frac {1}{3}}=1{\frac {5}{6}}.$

Translations

number

Italian: numero armonico m