English Title
Meditations about a singular type of series
Enestrom Number
477
Fuss Index
143
Original Language
Latin
Archive Notes
An Italian translation of this work has been done by Carmine Suriano.
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
