Package OEIS-Mathematica

1 Introduction

The Online Encyclopedia of Integer Sequences (OEIS) is one of the most valuable mathematical resources on the web. OEIS.m is a multipurpose Wolfram Language package that brings OEIS data directly into Mathematica:

👉 https://github.com/EnriquePH/OEIS-Mathematica

This is version 4.0.0 of the package, a streamlined rewrite that queries the official OEIS JSON API instead of scraping HTML pages. It works on Wolfram Language 11, 13 and 14, keeps the public functions of the earlier package, and is now distributed as an installable Wolfram Language paclet.

2 Features

Access to OEIS sequence metadata through the official JSON API
Compatible with Wolfram Language 11, 13 and 14 (paclet installation needs 12.1+)
Lightweight and easier to maintain than the previous HTML-based implementation
Support for common package operations such as validation, import and export
OEISbFile computes b-file terms beyond what OEIS has published, using a locally defined id[n_] := ..., as documented on the OEIS wiki page for this package

3 Installation

As a paclet (recommended, WL 12.1+):

PacletInstall["https://github.com/EnriquePH/OEIS-Mathematica/releases/latest/download/OEIS-4.0.0.paclet"]
Needs["OEIS`"]

Or, working from a local clone without installing anything:

PacletDirectoryLoad["/path/to/OEIS-Mathematica"]
Needs["OEIS`"]

Legacy Get, for older Wolfram Language versions or a single-file drop-in:

Get["/path/to/OEIS-Mathematica/OEIS.m"]

4 Quick start

Load the package in a Wolfram notebook with:

<<OEIS`

Example:

OEISImport["A000045", "Description"]

4.1 Main functions

OEISTotalNumberOfSequences
OEISValidateIDQ
OEISImport
OEISURL
OEISFunction
OEISExport
OEISbFile

See the Function Index for full signatures, options and links to each reference page.

5 Documentation and tutorial

A full walkthrough with real, verified output is available at EnriquePH.github.io/OEIS-Mathematica, along with a Wolfram Notebook tutorial, a guide page and one reference page per function.

6 Testing

Continuous integration runs the ID-validation/URL-building subset on every push and pull request using Mathics3, a free, open-source Wolfram Language implementation, so it needs no Wolfram Engine license. The full test suite, including live OEIS API calls, still needs a licensed wolframscript:

wolframscript -file Tests/RunTests.wls            # everything, incl. live OEIS API calls
wolframscript -file Tests/RunTests.wls --offline   # ID validation / URL building only

7 License

The package is distributed under the GNU General Public License v3.0.

8 How to cite

If you use this package in a project or publication, please cite it using the metadata in CITATION.cff, which includes the archived Zenodo DOI: 10.5281/zenodo.21516520.

9 Links

--- title: Package OEIS-Mathematica description: A Wolfram Language package for using OEIS data in Mathematica author: 'Enrique Pérez Herrero' date: '2026-07-23' image: 'oeis-mathematica-logo.png' image-alt: "Phyllotaxis plot of OEIS sequence A001615, plotted live with OEIS.m" categories: - Mathematics - Wolfram Language - Package editor: source lang: en draft: false --- ## Introduction The [Online Encyclopedia of Integer Sequences](https://oeis.org) (OEIS) is one of the most valuable mathematical resources on the web. `OEIS.m` is a multipurpose Wolfram Language package that brings OEIS data directly into Mathematica: 👉 https://github.com/EnriquePH/OEIS-Mathematica This is version 4.0.0 of the package, a streamlined rewrite that queries the official OEIS JSON API instead of scraping HTML pages. It works on Wolfram Language 11, 13 and 14, keeps the public functions of the earlier package, and is now distributed as an installable Wolfram Language **paclet**. --- ## Features - Access to OEIS sequence metadata through the official JSON API - Compatible with Wolfram Language 11, 13 and 14 (paclet installation needs 12.1+) - Lightweight and easier to maintain than the previous HTML-based implementation - Support for common package operations such as validation, import and export - `OEISbFile` computes b-file terms beyond what OEIS has published, using a locally defined `id[n_] := ...`, as documented on the [OEIS wiki page](https://oeis.org/wiki/User:Enrique_P%C3%A9rez_Herrero/OEIS_Package) for this package --- ## Installation As a paclet (recommended, WL 12.1+): ```wl PacletInstall["https://github.com/EnriquePH/OEIS-Mathematica/releases/latest/download/OEIS-4.0.0.paclet"] Needs["OEIS`"] ``` Or, working from a local clone without installing anything: ```wl PacletDirectoryLoad["/path/to/OEIS-Mathematica"] Needs["OEIS`"] ``` Legacy `Get`, for older Wolfram Language versions or a single-file drop-in: ```wl Get["/path/to/OEIS-Mathematica/OEIS.m"] ``` --- ## Quick start Load the package in a Wolfram notebook with: ```wl <<OEIS` ``` Example: ```wl OEISImport["A000045", "Description"] ``` ### Main functions - `OEISTotalNumberOfSequences` - `OEISValidateIDQ` - `OEISImport` - `OEISURL` - `OEISFunction` - `OEISExport` - `OEISbFile` See the [Function Index](https://enriqueph.github.io/OEIS-Mathematica/functions.html) for full signatures, options and links to each reference page. --- ## Documentation and tutorial A full walkthrough with real, verified output is available at [EnriquePH.github.io/OEIS-Mathematica](https://enriqueph.github.io/OEIS-Mathematica/), along with a Wolfram Notebook tutorial, a guide page and one reference page per function. --- ## Testing Continuous integration runs the ID-validation/URL-building subset on every push and pull request using [Mathics3](https://mathics.org), a free, open-source Wolfram Language implementation, so it needs no Wolfram Engine license. The full test suite, including live OEIS API calls, still needs a licensed `wolframscript`: ``` wolframscript -file Tests/RunTests.wls # everything, incl. live OEIS API calls wolframscript -file Tests/RunTests.wls --offline # ID validation / URL building only ``` --- ## License The package is distributed under the [GNU General Public License v3.0](https://github.com/EnriquePH/OEIS-Mathematica/blob/master/LICENSE). ## How to cite If you use this package in a project or publication, please cite it using the metadata in [CITATION.cff](https://github.com/EnriquePH/OEIS-Mathematica/blob/master/CITATION.cff), which includes the archived Zenodo DOI: [10.5281/zenodo.21516520](https://doi.org/10.5281/zenodo.21516520). ## Links - [GitHub - OEIS-Mathematica](https://github.com/EnriquePH/OEIS-Mathematica) - [Documentation and tutorial](https://enriqueph.github.io/OEIS-Mathematica/) - [Function Index](https://enriqueph.github.io/OEIS-Mathematica/functions.html) - [DOI on Zenodo](https://doi.org/10.5281/zenodo.21516520)