generating_functions

Community

Power series for sequences and recurrences.

Authorbneb
Version1.0.0
Installs0

System Documentation

What problem does it solve?

Encode a sequence as a formal power series and use algebraic operations to derive recurrences, closed forms, and identities.

Core Features & Use Cases

  • Translate a sequence into a generating function F(x) and manipulate it to obtain a recurrence.
  • Solve for closed-form expressions or identities using standard generating-function techniques and partial fractions.
  • Integrate with Lean 4 / mathlib4 to formalize proofs and coefficient extraction within a proof environment.

Quick Start

Provide a sequence and ask the system to derive its generating function and the associated recurrence or closed form.

Dependency Matrix

Required Modules

None required

Components

Standard package

💻 Claude Code Installation

Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.

Please help me install this Skill:
Name: generating_functions
Download link: https://github.com/bneb/perqed/archive/main.zip#generating-functions

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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