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oeis-api

On-Line Encyclopedia of Integer Sequences API

skills/domains/math/oeis-api/SKILL.md

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# OEIS API Guide

## Overview

The On-Line Encyclopedia of Integer Sequences (OEIS) is a comprehensive database of integer sequences, founded by Neil Sloane in 1964 and now containing over 370,000 entries. It is one of the most widely cited resources in mathematics, serving as the definitive reference for identifying, cataloging, and exploring integer sequences that arise in combinatorics, number theory, algebra, analysis, and applied mathematics.

The OEIS provides a web-accessible search interface that can also be used programmatically to query sequences by their terms, by A-number (the unique identifier for each sequence), or by keyword. The API returns structured data in JSON or plain text format, including the sequence terms, formulas, generating functions, references, links to related sequences, and contributed programs in various languages.

Mathematicians, computer scientists, physicists, and researchers in any quantitative discipline use the OEIS to identify unknown sequences encountered in their work, verify conjectures, discover connections between different areas of mathematics, and access formulas and programs for computing sequence terms. It is an indispensable tool for both pure and applied mathematical research.

## Authentication

No authentication required. The OEIS is a free, open resource that does not require any API key, token, or registration. All queries are publicly accessible. The OEIS Foundation operates as a non-profit and relies on voluntary contributions.