Sequences
vellum-ai/vellum-assistant
Create and manage automated email drip sequences. An agent skill from vellum-ai/vellum-assistant.
On-Line Encyclopedia of Integer Sequences API. An agent skill from wentorai/research-plugins.
$ npx skills add wentorai/research-plugins --skill oeis-api -a claude-codeProject install by default; add -g for ~/.claude/skills/.
$ gh skill install wentorai/research-plugins oeis-api --agent claude-codeProject scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).
$ 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-srcUse ~/.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/
Install the "oeis-api" agent skill from https://github.com/wentorai/research-plugins/tree/main/skills/domains/math/oeis-api into .claude/skills/oeis-api/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "oeis-api", then confirm the skill loads.Claude Code copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$skill-installer install https://github.com/wentorai/research-plugins/tree/main/skills/domains/math/oeis-apiType this inside Codex. $skill-installer <name> installs a curated skill from openai/skills. The installer writes to $CODEX_HOME/skills (default ~/.codex/skills). Restart Codex if the skill does not show up.
$ npx skills add wentorai/research-plugins --skill oeis-api -a codexProject install goes to .agents/skills/; add -g for ~/.codex/skills/.
$ gh skill install wentorai/research-plugins oeis-api --agent codexProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/wentorai/research-plugins.git skills-src && mkdir -p .agents/skills && cp -r skills-src/skills/domains/math/oeis-api .agents/skills/oeis-api && rm -rf skills-srcUse ~/.agents/skills/ instead of .agents/skills for a personal install.
Codex skills documentation · loads skills from .agents/skills/
Install the "oeis-api" agent skill from https://github.com/wentorai/research-plugins/tree/main/skills/domains/math/oeis-api into .agents/skills/oeis-api/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "oeis-api", then confirm the skill loads.Codex copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ npx skills add wentorai/research-plugins --skill oeis-api -a cursorProject install goes to .agents/skills/; add -g for ~/.cursor/skills/.
$ gh skill install wentorai/research-plugins oeis-api --agent cursorProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/wentorai/research-plugins.git skills-src && mkdir -p .cursor/skills && cp -r skills-src/skills/domains/math/oeis-api .cursor/skills/oeis-api && rm -rf skills-srcUse ~/.cursor/skills/ instead of .cursor/skills for a personal install.
Cursor skills documentation · loads skills from .cursor/skills/, .agents/skills/, .claude/skills/, .codex/skills/
Install the "oeis-api" agent skill from https://github.com/wentorai/research-plugins/tree/main/skills/domains/math/oeis-api into .cursor/skills/oeis-api/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "oeis-api", then confirm the skill loads.Cursor copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ gemini skills install https://github.com/wentorai/research-plugins.git --path skills/domains/math/oeis-api--scope user (default) or --scope workspace; --path is the subfolder of the repo that holds the skill; --consent skips the security confirmation prompt.
$ npx skills add wentorai/research-plugins --skill oeis-api -a gemini-cliProject install goes to .agents/skills/; add -g for ~/.gemini/skills/.
$ gh skill install wentorai/research-plugins oeis-api --agent gemini-cliProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/wentorai/research-plugins.git skills-src && mkdir -p .gemini/skills && cp -r skills-src/skills/domains/math/oeis-api .gemini/skills/oeis-api && rm -rf skills-srcUse ~/.gemini/skills/ instead of .gemini/skills for a personal install, then run /skills reload.
Gemini CLI skills documentation · loads skills from .gemini/skills/, .agents/skills/
Install the "oeis-api" agent skill from https://github.com/wentorai/research-plugins/tree/main/skills/domains/math/oeis-api into .gemini/skills/oeis-api/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "oeis-api", then confirm the skill loads.Gemini CLI copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ gh skill install wentorai/research-plugins oeis-apiInstalls for Copilot at project scope by default; add --scope user for a personal install. Preview a skill first with gh skill preview. Needs GitHub CLI 2.90.0 or later (public preview).
$ npx skills add wentorai/research-plugins --skill oeis-api -a github-copilotProject install goes to .agents/skills/; add -g for ~/.copilot/skills/.
$ git clone --depth 1 https://github.com/wentorai/research-plugins.git skills-src && mkdir -p .github/skills && cp -r skills-src/skills/domains/math/oeis-api .github/skills/oeis-api && rm -rf skills-srcUse ~/.copilot/skills/ instead of .github/skills for a personal install. Commit .github/skills so cloud agent and code review can use it.
GitHub Copilot skills documentation · loads skills from .github/skills/, .claude/skills/, .agents/skills/
Install the "oeis-api" agent skill from https://github.com/wentorai/research-plugins/tree/main/skills/domains/math/oeis-api into .github/skills/oeis-api/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "oeis-api", then confirm the skill loads.GitHub Copilot copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ npx skills add wentorai/research-plugins --skill oeis-api -a opencodeOpenCode documents no install command of its own. Project install goes to .agents/skills/; add -g for ~/.config/opencode/skills/.
$ gh skill install wentorai/research-plugins oeis-api --agent opencodeProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/wentorai/research-plugins.git skills-src && mkdir -p .opencode/skills && cp -r skills-src/skills/domains/math/oeis-api .opencode/skills/oeis-api && rm -rf skills-srcUse ~/.config/opencode/skills/ instead of .opencode/skills for a personal install.
OpenCode skills documentation · loads skills from .opencode/skills/, .claude/skills/, .agents/skills/
Install the "oeis-api" agent skill from https://github.com/wentorai/research-plugins/tree/main/skills/domains/math/oeis-api into .opencode/skills/oeis-api/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "oeis-api", then confirm the skill loads.OpenCode copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
oeis-apiOn-Line Encyclopedia of Integer Sequences API. An agent skill from wentorai/research-plugins.
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.
Read from SKILL.md and the folder at commit bf44b3c. It shows what the files ask for, not the result of running them.
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.
Shell commands in SKILL.md call:
curlFrom the folder's file list and the shell code blocks in SKILL.md.
Hosts in commands or code, which the agent is likely to contact:
oeis.orgAlso links to:
oeisf.orgFrom URLs in SKILL.md, links to its own repository left out.
Names no API keys, tokens, secrets or passwords.
From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.
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.
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.
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.
The full file from wentorai/research-plugins at commit bf44b3c, republished under its MIT licence (© wentorai). 542 words, ~1,675 tokens.
.claude/skills/oeis-api/SKILL.md (or your agent's skills folder).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.
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.
Search the OEIS database by sequence terms, keywords, A-number, or author name. This is the primary endpoint for querying the encyclopedia.
GET https://oeis.org/search| Parameter | Type | Required | Description |
|---|---|---|---|
| q | string | Yes | Search query: sequence terms (comma-separated), keyword, or A-number |
| fmt | string | No | Output format: json, text, html (default) |
| start | int | No | Offset for pagination (default 0) |
# 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"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).Retrieve a specific sequence by its A-number directly via the URL path. This provides a simpler access pattern for known sequences.
GET https://oeis.org/A{number}| Parameter | Type | Required | Description |
|---|---|---|---|
| number | int | Yes | The sequence A-number (in the URL path) |
| fmt | string | No | Output format: json, text, html |
# Retrieve the Fibonacci sequence (A000045)
curl "https://oeis.org/A000045?fmt=json"
# Retrieve the prime numbers (A000040)
curl "https://oeis.org/A000040?fmt=json"number, name, data, formula, maple (Maple code), mathematica (Mathematica code), program (other language implementations), and keyword (classification tags like nonn, easy, nice).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.
When you encounter an integer sequence in your research and want to identify it:
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")Get computational formulas and reference implementations for a known sequence:
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:
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}")© wentorai, MIT. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file
Just SKILL.md in skills/domains/math/oeis-api of wentorai/research-plugins.
Open the folder on GitHubat commit bf44b3c
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.
Oeis API next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.
| Skill | Stars | Used in | Tokens | Auto-check | Licence | Repo updated |
|---|---|---|---|---|---|---|
| Oeis API this skillwentorai/research-plugins | 298 | 1 repos | ~1.7k | Automated safety check: Pass | MIT | |
| Sequencesvellum-ai/vellum-assistant | 1.4k | — | ~589 | Automated safety check: Pass | MIT | |
| Sequence Psychologistsickn33/agentic-awesome-skills | 47k | 2 repos | ~1.3k | Automated safety check: Pass | MIT | |
| Seedance SequenceEmily2040/seedance-2.0 | 7.5k | 1 repos | ~2.6k | Automated safety check: Pass | MIT | |
| Sequenceexon-research/genomi | 484 | — | ~1.4k | Automated safety check: Pass | Apache-2.0 | |
| Biopython Sequence Ioaipoch/medical-research-skills | 2k | — | ~2.1k | Automated safety check: Pass | MIT |
vellum-ai/vellum-assistant
Create and manage automated email drip sequences. An agent skill from vellum-ai/vellum-assistant.
sickn33/agentic-awesome-skills
One sentence - what this skill does and when to invoke it. An agent skill from sickn33/agentic-awesome-skills.
Emily2040/seedance-2.0
This skill should be used when a Seedance 2.0 request is a long story, connected set of clips, multi-generation scene, campaign sequence, dense storyboard, continuation-ready plan, or any idea that…
exon-research/genomi
Deterministic sequence utilities for translation, ORFs, restriction sites, Kozak context, primer checks, and local FASTA record matching.
aipoch/medical-research-skills
Use Biopython to read/write/convert biological sequence files (FASTA/GenBank/FASTQ, etc.) and perform basic sequence operations; use when you need reliable sequence I/O, lightweight sequence…
heygen-com/hyperframes
A ready-made HyperFrames video block where an orbiting camera follows an ice logo that shatters, reforms into two text lines and fades, at 1920×1080.
wentorai/research-plugins
Craft structured research abstracts that maximize clarity and journal acceptance
wentorai/research-plugins
Manage academic citations across BibTeX, APA, MLA, and Chicago formats
wentorai/research-plugins
Summarize academic papers with structured extraction of key elements
wentorai/research-plugins
Evidence-based study techniques for academic learning and retention
wentorai/research-plugins
Adjust writing tone and register for academic audiences and venues
wentorai/research-plugins
Academic translation, post-editing, and Chinglish correction guide
On-Line Encyclopedia of Integer Sequences API. An agent skill from wentorai/research-plugins. Oeis API is an agent skill from wentorai/research-plugins.
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.
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.
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.
Going by SKILL.md and its folder, Oeis API needs the command-line tools its instructions call (curl). Our summary lists: Python 3.
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.
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.
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.
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.
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.
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.