LODA is an assembly language, a computational model, and a distributed tool for mining programs. You can use it to generate and search programs that compute integer sequences from the On-Line Encyclopedia of Integer Sequences® (OEIS®). The goal of the project is to reverse engineer formulas and efficient algorithms for a wide range of non-trivial integer sequences.

Note: Program mining using BOINC, loda-cpp or loda-rust is currently on hold due to maintenance activities and development of new algorithms.

The LODA Language

LODA means Lexicographical Order Descent Assembly. It is an assembly-based language for solving number-theoretic problems. It has a simple syntax and a rich set of arithmetic operations. This enables an automated search of new programs and algorithms using a process called program mining. In a nutshell, we use distributed compute power, smart search algorithms and machine-learning to find programs and formulas for the integer sequences from the OEIS database.

To get an idea of the language, you can search browse through the available programs or search using keywords. A comprehensive overview of the language concepts and the supported operations is available in the language specification.


LODA is an open-source project. You can find our source code in the loda-lang organization on GitHub. If you encounter any bugs, have ideas for new features, or wish to contribute code, we warmly welcome you to open issues or pull requests. For general inquiries or discussions, feel free to join us on our Discord or contact us via e-mail. Your contributions and engagement are greatly appreciated!