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More power to Pascal

Published online by Cambridge University Press:  01 August 2016

Barry Lewis*
Affiliation:
Flat 1, 110 Highgate Hill, London N6 5HE, e-mail: barry@mathscounts.org

Extract

Pascal’s triangle is the most famous of all number arrays - full of patterns and surprises. One surprise is the fact that lurking amongst these binomial coefficients are the triangular and pyramidal numbers of ancient Greece, the combinatorial numbers which arose in the Hindu studies of arrangements and selections, together with the Fibonacci numbers from medieval Italy. New identities continue to be discovered, so much so that their publication frequently excites no one but the discoverer.

Type
Articles
Copyright
Copyright © The Mathematical Association 2008

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References

1. Call, G. S. Velleman, D. J. Pascal’s matrices, Amer. Math. Monthly, 100 (4) (April 1993) pp. 372376.Google Scholar
2. Graham, R. L. Knuth, D. E. Patashnik, O. Concrete mathematics (2nd edn), Addison-Wesley (1989) pp. 364.Google Scholar
3. Allenby, R. J. B. T. Linear algebra (Modular Mathematics), Edward Arnold (1995) p. 97.Google Scholar
5. http://www-groups.dcs.st-and.ac.uk/∼history/Biographies/Lah.htmlGoogle Scholar