Simple proof that a -adic Pascal's triangle is rotatable
Abstract: An array of numbers which is obtained by the replacement of binomial or multinomial coefficients by their -adic valuation is not only parallel translatable but also 120 rotatable, without changing its configuration in the Pascal's triangle.
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Keywords: Pascal's triangle, binomial coefficients, multinomial coefficients, -adic valuations, equal product property, equal GCD-LCM property, crystallographic groups
Article copyright: © Copyright 1976 American Mathematical Society