Jump to ContentJump to Main Navigation
Combinatorics: Ancient and Modern$
Users without a subscription are not able to see the full content.

Robin Wilson and John J. Watkins

Print publication date: 2013

Print ISBN-13: 9780199656592

Published to Oxford Scholarship Online: September 2013

DOI: 10.1093/acprof:oso/9780199656592.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 27 May 2019

The arithmetical triangle

The arithmetical triangle

Chapter:
(p.167) Chapter 7 The arithmetical triangle
Source:
Combinatorics: Ancient and Modern
Author(s):

A. W. F. EDWARDS

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199656592.003.0008

The arithmetical triangle is the most famous of all number patterns. Apparently a simple listing of the binomial coefficients, it contains the triangular and pyramidal numbers of ancient Greece, the combinatorial numbers that arose in the Hindu studies of arrangements and selections, and (barely concealed) the Fibonacci numbers from medieval Italy. It reveals patterns that delight the eye, raises questions that tax the number-theorists, and amongst the ‘… coefficients, there are so many relations present that when someone finds a new identity, there aren’t many people who get excited about it any more, except the discoverer!’

Keywords:   arithmetical triangle, binomial, triangular numbers, pyramidal numbers, Fibonacci numbers

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .