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Factors of Binomial Coefficients

Published online by Cambridge University Press:  03 November 2016

E. H. Lockwood  and
P. Gant
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Extract

If Pascal’s Triangle is written down, it will be noticed that the number of odd numbers in any row is a power of 2; moreover, if every even number is replaced by 0 and every odd number by 1, the result is an interesting pattern of triangles from which it is possible to deduce a general rule. Again, if divisibility by any prime number p is considered, and if every number in Pascal’s Triangle is replaced by its residue (mod p), an even more intriguing pattern is formed. These considerations led to the following investigation.

Type
Research Article
Information
The Mathematical Gazette , Volume 43 , Issue 343 , February 1959 , pp. 31 - 34
Copyright
Copyright © Mathematical Association 1959

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