This sequence can also be read off from the theory of partial fractions.

You can represent partial fractions using the expanded form of divided differences.

Here, the two terms on the right are called partial fractions.

When f(z) is a rational function, this reduces to the usual method of partial fractions.

As a partial fraction, it reveals the geometry of the fundamental domain: Here the first term is in error.

Apply the cover-up rule to solve for the new numerator of each partial fraction.

Set up a partial fraction for each factor in the denominator.

Here, we set up a partial fraction for each descending power of the denominator.

His proof of the result was the earliest use of partial fractions in integration.

This reduces it to the problem of antidifferentiating a rational function by using partial fractions.