---
tag: 0R0D0XY4HT
kind: concept
name: Coefficient of a power series
msc: [13F25]
sources:
  - url: https://en.wikipedia.org/wiki/Formal_power_series
    locator: Extracting coefficients
---

## Summary

The coefficient of $X^n$ in a formal power series is the $n$-th term of its sequence. Coefficient extraction is how a generating function gives back its counting numbers. The node [[coefficient of a power series|0M98XYVX6S]] gives the precise definition.