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On the Number of Binomial Coefficients which are Divisible by their Row Number
Published online by Cambridge University Press: 20 November 2018
Abstract
If n is a natural number, let A(n) be the number of integers, k, such that 0 < k < n and n divides . Then ϕ(n) ≤ A(n) ≤ n - 1 - 2ω(n) + ɛ, where ?(n) denotes the number of distinct prime factors of n, and ɛ = 0 unless n is twice a prime, in which case ɛ = 1.
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- Copyright © Canadian Mathematical Society 1982
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