English

Approximations of generating functions and a few conjectures

Number Theory 2009-11-30 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.0911.4975,
  title  = {Approximations of generating functions and a few conjectures},
  author = {Simon Plouffe},
  journal= {arXiv preprint arXiv:0911.4975},
  year   = {2009}
}
R2 v1 2026-06-21T14:16:13.768Z