Abstract
This paper is a somewhat expanded companion to a talk (Available at http://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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Notes
- 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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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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DOI: https://doi.org/10.1007/978-3-319-68376-8_9
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