E158 -- Observationes analyticae variae de combinationibus
(Various analytical observations about combinations)
This may be where generating functions are first used. Euler presents applications to some problems about partitions.
the records, it was presented to the St. Petersburg Academy on April 6, 1741.
Originally published in Commentarii academiae scientiarum Petropolitanae 13, 1751, pp. 64-93
Opera Omnia: Series 1, Volume 2, pp. 163 - 193
A handwritten French translation of this treatise can be found in the library of the observatory in
Uccle, near Brussels.
- Original publication: E158
(in the Commentarii)
- English translation (Jordan Bell): E158
- E158 is discussed in Ed Sandifer's How Euler Did It October
2005 column published online by the MAA.
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