English Title

Meditations about a singular type of series

Authors

Leonhard Euler

Enestrom Number

477

Fuss Index

143

Original Language

Latin

Published as

Journal article

Published Date

1776

Written Date

1771

Content Summary

Euler examines the series sm,n = 1 + 1/2m∙(1+1/2n) + 1/3m∙(1+1/2n+1/3n) + 1/4m∙(1+1/2n+1/3n+1/4n) + .... He gets a relation 2sn,n = sn2 + s2n, along with some similar, more complicated formulas. Then he evaluates sm,n for m+n = 6.

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 20, pp. 140-186.

Opera Omnia Citation

Series 1, Volume 15, pp.217-267.

Record Created

2018-09-25

Included in

Mathematics Commons

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