New Combinatorial Approach for Constructing OEIS Sequences

[Rui Ferreira]

Dear OEIS SeqFan,

I would like to share a repository of OEIS sequences that I’ve constructed using a combinatorial model. The sequences are generated based on extremal combinatorial formulas, leveraging a more abstract combinatorial structure that constructs sequences through maximization.

Repository Overview:

The repository contains 45 (to the moment) OEIS Sequences Python scripts that implement these combinatorial constructions for various OEIS sequences. For example, the script OEIS_A065091.py computes odd primes in a given range, based on a method involving the maximization of a specific value derived from differences of squares. Other sequences, such as q-factorial numbers, are generated similarly by applying different combinatorial conditions.

You can explore the full repository here: https://github.com/rf-iasys/OEIS

I would greatly appreciate any feedback on the implementation, especially in terms of how the sequences might relate to or extend known results. I am also open to suggestions for improving or refining the approach.

Thank you for your time and consideration.

Best regards,
Rui Ferreira