---
date: 2023-01-02 02:03
modification date: Monday 2nd January 2023 02:03:22
title: "generating function"
aliases: [generating function]
---

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- Tags: 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- #todo/create-links 

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# generating function

Some interesting ones:

| Sequence  | GF | 
|-----------|-----|
| $\tv{ n \atop n-k }$ | $\prod_{k=0}^{n-1} (1+kz)$ | 
| $\ts{n+k\atop n}$ | $\prod_{k=1}^\infty {1\over 1-kz}$ |