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Super-Pascal

Published online by Cambridge University Press:  22 September 2016

Denis Lawson*
Affiliation:
Baysgarth School, Barrow Road, Barton-on-Humber, South Humberside DN18 6AE

Extract

In many classrooms now a mention of Pascal will produce vague memories of “that triangle of numbers” (Table 1). Some children may even be able to reproduce it. If they can provide an application it is likely to be about numbers of routes or probability. At a later stage the better mathematicians will associate it with the expansion of (1 + x)n, where the row number gives the value of n and the column number the power of x, and the binomial expansion generally. Let me present you with two more tables which I have dubbed Super-Pascal because the rules of compilation are reminiscent of the rule for the triangle above but a little more complicated.

Type
Research Article
Copyright
Copyright © Mathematical Association 1980

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