Approximations of generating functions and a few conjectures

TL;DR

This paper presents a large collection of formulas for integer sequences generated by a computer in 1992, serving as an early database that contributed to the Encyclopedia of Integer Sequences.

Contribution

It provides a methodology for deriving formulas for integer sequences and compiles a significant dataset of over 1,000 formulas from 1992, predating the modern encyclopedia.

Findings

Generated 1031 formulas for integer sequences

Contributed to the early development of the Encyclopedia of Integer Sequences

Demonstrated methodology for formula derivation

Abstract

This is a collection of 1031 formulas that were generated by a computer program in 1992. The set is the database of integer sequences as of 1992 which contained 4568 sequences. These sequences were later published in the Encyclopedia of Integer Sequences by Neil J.A. Sloane and Simon Plouffe. The text explain the methodology used for finding a formula. The rest of the pages (over 500) is the collection of formulas found. NOTE : the sequences are numbered in the old system.