The th partial numerator in a generalized continued fraction

is the expression . For a simple continued fraction

the partial numerators are all unity: .

The th partial numerator in a generalized continued fraction

is the expression . For a simple continued fraction

the partial numerators are all unity: .

Weisstein, Eric W. "Partial Numerator."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/PartialNumerator.html