AI Generated

Algorithms for Integer Sequences

Discover new ways of solving infinite mathematical sequences, with solutions generated without prior human knowledge. Enter the first 8 integers of your sequence to see the results:

Machine Learning created Programs

Solutions for OEIS sequences

Click on any to see the details.

Highlights

Numbers summarizing the AlgoNumbers project.

1+ billion

This database contains more than 1 billion sequences with a short program available that given an input returns its i-th term.

programs

8K+

More than 8K OEIS sequences have been solved automatically. With 2+ million programs solving these OEIS sequences

OEIS sequences solved

6

Using a Brainfuck variant. Implementable with few transistors. This leads to an average of less than 12 bytes per program, giving a low Kolmogorov complexity boundary

instructions used

FAQ

Frequently Asked Questions

Some common questions about AlgoNumbers

These programs were found using a program developed by the author. There were no human taken examples in the process which hopefully brings new ideas on solving Integer Sequences. Further details of the program will be shared in the future.
AlgoNumbers uses a new variant of Brainfuck, designed to be as simple as possible (with just 6 instructions without arguments) while allowing it to generate large numbers efficiently. It purposely skips multiplication and division as these are particularly expensive to implement in hardware.
My intent is to let anyone use these programs for their own projects. For now I only request you to contact me before using them via any of the social networks listed in the footer.
This aims to be a community project, although still very unstructured so reach out to me via any of the social networks listed in the footer.
OEIS is the Online Enciclopedia of Integer Sequences created by Neil Sloane. AlgoNumbers uses the OEIS as a benchmark for artificially generated programs.