How to Create a New Integer Sequence
Combinatorics
2007-12-17 v1 General Mathematics
Abstract
There are several standard procedures used to create new sequences from a given sequence or from a given pair of sequences. In this paper I discuss the most popular of these procedures. For each procedure, I give a definition and provide examples based on three famous sequences: the natural numbers, the prime numbers and the Fibonacci numbers. I also add my thoughts on what makes a sequence interesting. My goal is to help my readers invent new sequences, differentiate interesting sequences from boring ones, and better understand sequences they encounter.
Keywords
Cite
@article{arxiv.0712.2244,
title = {How to Create a New Integer Sequence},
author = {Tanya Khovanova},
journal= {arXiv preprint arXiv:0712.2244},
year = {2007}
}
Comments
34 pages, 1 figure