English Title

Meditations about a singular type of series

Authors

Leonhard Euler

Enestrom Number

477

Fuss Index

143

Original Language

Latin

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.

Published as

Journal article

Published Date

1776

Written Date

1771

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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