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This paper is a somewhat expanded companion to a talk (Available athttp://www.carma.newcastle.edu.au/jon/OEIStalk.pdf) with the same title presented in December 2015 at a 2015 workshop celebrating Tony Guttmann’s seventieth birthday. My main intention is to further advertise the wonderful resource that the Online Encyclopedia of Integer Sequences (OEIS) has become.
Editorial Note: Jon Borwein passed away August 2, 2016.
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- 1.
Two sequences are found which we flag via (1 / 2). It is interesting to see how many terms are needed to uniquely define well-known sequences. We indicate the same information in the next two examples.
References
J.M. Borwein, D.H. Bailey,Mathematics by Experiment: Plausible Reasoning in the 21st Century (A.K. Peters Ltd., Massachusetts, 2004). ISBN: 1-56881-136-5. Combined Interactive CD version 2006. Expanded Second Edition, 2008
J.M. Borwein, D.H. Bailey, R. Girgensohn,Experimentation in Mathematics: Computational Paths to Discovery (A.K. Peters Ltd., Massachusetts, 2004). ISBN 1-56881-211-6. Combined Interactive CD version 2006
J.M. Borwein, P.B. Borwein,Pi and the AGM:A Study in Analytic Number Theory and Computational Complexity, (Wiley, New York, 1987); reprinted 1988, 1996, Chinese edition 1995, paperback 1998
J.M. Borwein, K. Devlin,The Computer as Crucible: An Introduction to Experimental Mathematics, A.K. Peters, Massachusetts, 2008
G.H. Hardy,A Mathematician’s Apology (Cambridge University Press, Cambridge, 1941)
Acknowledgements
The author wishes to thank all of his coauthors, living and dead, who worked on one or more of these examples.
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Authors and Affiliations
Centre for Computer-Assisted Research Mathematics and its Applications (CARMA), University of Newcastle, Callaghan, NSW, 2308, Australia
Jonathan M. Borwein
- Jonathan M. Borwein
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Editors and Affiliations
Department of Mathematics, Pennsylvania State University, State College, Pennsylvania, USA
George E. Andrews
Department of Mathematics, University of Florida, Gainesville, Florida, USA
Frank Garvan
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Borwein, J.M. (2017). Adventures with the OEIS. In: Andrews, G., Garvan, F. (eds) Analytic Number Theory, Modular Forms and q-Hypergeometric Series. ALLADI60 2016. Springer Proceedings in Mathematics & Statistics, vol 221. Springer, Cham. https://doi.org/10.1007/978-3-319-68376-8_9
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