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Factors of Binomial Coefficients

The Mathematical Gazette, 1959
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.
Lockwood, E. H., Gant, P.
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