Authors

Leonhard Euler

Enestrom Number

575

Fuss Index

134

Original Language

Latin

Published as

Journal article

Published Date

1784

Written Date

1776

Content Summary

First, Euler gives a few relations on products and sums of binomial coefficients, then a relation on the sums of squares of binomial coefficients. Then he does a bit with the integral for the beta function and finds analogous relations for sums and products of generalized binomial coefficients. This article is notable in part because Euler uses the fairly modern-looking notation [m/n] for binomial coefficients.

Original Source Citation

Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 1781: I, pp. 74-111.

Opera Omnia Citation

Series 1, Volume 15, pp.528-568.

Record Created

2018-09-25

Included in

Mathematics Commons

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