Observationes analyticae

English Title

Analytical observations

Authors

Leonhard Euler

Enestrom Number

326

Fuss Index

126

Original Language

Latin

Content Summary

This paper examines the series 1 + x + 3x² + 7x³ + 19x⁴ + 51x⁵ + … derived from the expansion of (1 + x + x²)ⁿ. He then generalizes to the form (a + bx + cx²)ⁿ.

Published as

Journal article

Published Date

1767

Written Date

1763

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 11, pp. 124-143.

Opera Omnia Citation

Series 1, Volume 15, pp.50-69.

Record Created

2018-09-25