Harmonic number
id:
harmonic-number-166-11188468
title:
Harmonic number
text:
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. Starting from n = 1, the sequence of harmonic numbers begins: 1, 3 2, 11 6, 25 12, 137 60, … Harmonic numbers are related to the harmonic mean in that the n-th harmonic number is also n times the reciprocal of the harmonic mean of the first n positive integers. Harmonic numbers have been studied since antiquity and are important in various branches
brand slug:
wiki
category slug:
encyclopedia
description:
Sum of the first n whole number reciprocals; 1/1 + 1/2 + 1/3 + ... + 1/n
original url:
https://en.wikipedia.org/wiki/Harmonic_number
date created:
2003-04-22T20:31:41Z
date modified:
2024-08-29T22:34:33Z
main entity:
{"identifier":"Q13407133","url":"https://www.wikidata.org/entity/Q13407133"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/22/HarmonicNumbers.svg","width":600,"height":480}
fields total:
13
integrity:
16