Kempner series
id:
kempner-series-270-15695830
title:
Kempner series
text:
The Kempner series is a modification of the harmonic series, formed by omitting all terms whose denominator expressed in base 10 contains the digit 9. That is, it is the sum where the prime indicates that n takes only values whose decimal expansion has no nines. The series was first studied by A. J. Kempner in 1914. The series is counterintuitive because, unlike the harmonic series, it converges. Kempner showed the sum of this series is less than 90. Baillie showed that, rounded to 20 decimals,
brand slug:
wiki
category slug:
encyclopedia
description:
Harmonic series with all terms containing the digit '9' removed
original url:
https://en.wikipedia.org/wiki/Kempner_series
date created:
date modified:
2024-04-24T05:20:45Z
main entity:
{"identifier":"Q928481","url":"https://www.wikidata.org/entity/Q928481"}
image:
fields total:
13
integrity:
14