Agent skill

Oeis API

by wentorai in wentorai/research-plugins

On-Line Encyclopedia of Integer Sequences API. An agent skill from wentorai/research-plugins.

MITAuto-check passed

Install Oeis API

skills CLI
$ npx skills add wentorai/research-plugins --skill oeis-api -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install wentorai/research-plugins oeis-api --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/wentorai/research-plugins.git skills-src && mkdir -p .claude/skills && cp -r skills-src/skills/domains/math/oeis-api .claude/skills/oeis-api && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
oeis-api
GitHub stars
298
Used in
1 other repo
Token cost
~1.7k tokens
SKILL.md length
542 words
Files
1
Skills in repo
405
Repo updated
First seen
Licence
MIT

At a glance

On-Line Encyclopedia of Integer Sequences API. An agent skill from wentorai/research-plugins.

  • SKILL.md covers Overview, Authentication, Core Endpoints and Rate Limits, plus 2 more sections
  • Calls curl; reaches oeis.org

What it does

Oeis API is an agent skill from wentorai/research-plugins. On-Line Encyclopedia of Integer Sequences API

Its SKILL.md is about 1.7k tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

The repository describes itself as: 350+ academic research skills, MCP configs, and plugins for Research-Claw and AI agents. The licence is MIT.

Example prompts

  • “/oeis-api”

Requirements

  • Python 3

What it can do on your machine

Read from SKILL.md and the folder at commit bf44b3c. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    Shell commands in SKILL.md call:

    • curl

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    Hosts in commands or code, which the agent is likely to contact:

    • oeis.org

    Also links to:

    • oeisf.org

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Oeis API loads about 1.7k tokens when it runs. Until then it costs about 14 tokens; SKILL.md has 542 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~14
When it runs · the whole SKILL.md, loaded when a task matches
~1.7k

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check passed

The automated check found no risky patterns in SKILL.md.

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from wentorai/research-plugins at commit bf44b3c, republished under its MIT licence (© wentorai). 542 words, ~1,675 tokens.

Download SKILL.mdSave it as .claude/skills/oeis-api/SKILL.md (or your agent's skills folder).
name
oeis-api
description
On-Line Encyclopedia of Integer Sequences API

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.

Core Endpoints

search: Search for Sequences

Search the OEIS database by sequence terms, keywords, A-number, or author name. This is the primary endpoint for querying the encyclopedia.

  • URL: GET https://oeis.org/search
  • Parameters:
ParameterTypeRequiredDescription
qstringYesSearch query: sequence terms (comma-separated), keyword, or A-number
fmtstringNoOutput format: json, text, html (default)
startintNoOffset for pagination (default 0)
  • Example:
bash
# Search by sequence terms
curl "https://oeis.org/search?q=1,1,2,3,5,8,13,21&fmt=json"

# Search by A-number
curl "https://oeis.org/search?q=A000045&fmt=json"

# Search by keyword
curl "https://oeis.org/search?q=catalan+numbers&fmt=json"
  • Response: Returns a JSON object with count (total results), start, and results array. Each result contains number (A-number as integer), name (description), data (comma-separated terms), offset, formula (array of formula strings), comment (array), reference (array of bibliographic references), link (array of URLs), program (array of code implementations), and xref (cross-references to related sequences).
Show full SKILL.md (213 more words)Show less
lookup: Direct Sequence Retrieval

Retrieve a specific sequence by its A-number directly via the URL path. This provides a simpler access pattern for known sequences.

  • URL: GET https://oeis.org/A{number}
  • Parameters:
ParameterTypeRequiredDescription
numberintYesThe sequence A-number (in the URL path)
fmtstringNoOutput format: json, text, html
  • Example:
bash
# Retrieve the Fibonacci sequence (A000045)
curl "https://oeis.org/A000045?fmt=json"

# Retrieve the prime numbers (A000040)
curl "https://oeis.org/A000040?fmt=json"
  • Response: Returns the same structured JSON as the search endpoint but for a single sequence, including number, name, data, formula, maple (Maple code), mathematica (Mathematica code), program (other language implementations), and keyword (classification tags like nonn, easy, nice).

Rate Limits

No formal rate limits are published for the OEIS. However, the service is run by a non-profit organization with limited infrastructure. Users should be respectful and avoid sending more than a few requests per second. For bulk data access, the OEIS provides downloadable data files at https://oeis.org/stripped.gz (sequence terms) and https://oeis.org/names.gz (sequence names) which are more appropriate for large-scale analysis.

Common Patterns

Identify an Unknown Sequence

When you encounter an integer sequence in your research and want to identify it:

python
import requests

# You found this sequence in your combinatorial analysis
unknown_terms = "1,4,9,16,25,36,49,64"

resp = requests.get("https://oeis.org/search", params={"q": unknown_terms, "fmt": "json"})
data = resp.json()

if data["count"] > 0:
    seq = data["results"][0]
    print(f"A{seq['number']:06d}: {seq['name']}")
    print(f"Terms: {seq['data']}")
    if seq.get("formula"):
        print(f"Formula: {seq['formula'][0]}")
else:
    print("No matching sequence found in OEIS")
Retrieve Formulas and Programs

Get computational formulas and reference implementations for a known sequence:

python
import requests

# Get the Catalan numbers (A000108)
resp = requests.get("https://oeis.org/A000108", params={"fmt": "json"})
data = resp.json()
seq = data["results"][0]

print(f"Sequence: {seq['name']}")
print(f"\nFirst terms: {seq['data']}")

print("\nFormulas:")
for f in seq.get("formula", [])[:5]:
    print(f"  {f}")

print("\nPrograms:")
for p in seq.get("program", [])[:5]:
    print(f"  {p}")

Explore mathematical connections through cross-references:

python
import requests

resp = requests.get("https://oeis.org/search", params={"q": "A000045", "fmt": "json"})
data = resp.json()

if data["results"]:
    seq = data["results"][0]
    print(f"Fibonacci numbers ({seq['name']})")
    print(f"\nCross-references:")
    for xref in seq.get("xref", [])[:10]:
        print(f"  {xref}")

References

© wentorai, MIT. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

Just SKILL.md in skills/domains/math/oeis-api of wentorai/research-plugins.

Open the folder on GitHubat commit bf44b3c

Used in 1 other repository

We found 1 copy of this SKILL.md (exact, near-identical or edited) in other folders, from 1 other GitHub owner. This page covers the copy in wentorai/research-plugins, which our catalogue first saw on October 7, 2026.

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Oeis API this skillwentorai/research-plugins2981 repos~1.7kAutomated safety check: PassMIT
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Sequenceexon-research/genomi484—~1.4kAutomated safety check: PassApache-2.0
Biopython Sequence Ioaipoch/medical-research-skills2k—~2.1kAutomated safety check: PassMIT

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Questions about Oeis API

What does Oeis API do?

On-Line Encyclopedia of Integer Sequences API. An agent skill from wentorai/research-plugins. Oeis API is an agent skill from wentorai/research-plugins.

How do I install Oeis API in Claude Code?

Run `npx skills add wentorai/research-plugins --skill oeis-api -a claude-code`. Or copy the skill folder (skills/domains/math/oeis-api in wentorai/research-plugins) into .claude/skills/oeis-api in your project. Claude Code loads it when a task matches its description.

How do I install Oeis API in Codex?

Run `npx skills add wentorai/research-plugins --skill oeis-api -a codex`. Or copy the skill folder (skills/domains/math/oeis-api in wentorai/research-plugins) into .agents/skills/oeis-api in your project. Codex loads it when a task matches its description.

Can I use Oeis API in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add wentorai/research-plugins --skill oeis-api -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/oeis-api, .gemini/skills/oeis-api, .github/skills/oeis-api and .opencode/skills/oeis-api in your project.

What does Oeis API need to run?

Going by SKILL.md and its folder, Oeis API needs the command-line tools its instructions call (curl). Our summary lists: Python 3.

Does Oeis API access the network?

SKILL.md names 2 domains. In commands or code: oeis.org; the agent is likely to contact it when it follows the instructions. As links in the text: oeisf.org. This is read from the text; nothing was executed.

Is Oeis API safe to install?

Our automated static check of SKILL.md found no risky patterns, such as piping downloads into a shell, reading credential files or hidden Unicode. It is not a guarantee. Review the folder before installing.

What licence does Oeis API use?

Oeis API is published under the MIT licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does Oeis API use?

About 1.7k tokens (SKILL.md is roughly 6.7k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Oeis API?

Skills that share tags, products or a category with Oeis API: Sequences (vellum-ai/vellum-assistant, 1.4k stars), Sequence Psychologist (sickn33/agentic-awesome-skills, 47k stars), Seedance Sequence (Emily2040/seedance-2.0, 7.5k stars) and Sequence (exon-research/genomi, 484 stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Oeis API?

wentorai (a GitHub user) maintains it in wentorai/research-plugins, which has 298 GitHub stars. The repository holds 405 skills in this directory. The repository was last updated on June 19, 2026.

Source: wentorai/research-plugins on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.