On the Number of Binomial Coefficients which are Divisible by their Row Number
Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 363-365
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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.
Robbins, Neville. On the Number of Binomial Coefficients which are Divisible by their Row Number. Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 363-365. doi: 10.4153/CMB-1982-052-3
@article{10_4153_CMB_1982_052_3,
author = {Robbins, Neville},
title = {On the {Number} of {Binomial} {Coefficients} which are {Divisible} by their {Row} {Number}},
journal = {Canadian mathematical bulletin},
pages = {363--365},
year = {1982},
volume = {25},
number = {3},
doi = {10.4153/CMB-1982-052-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-052-3/}
}
TY - JOUR AU - Robbins, Neville TI - On the Number of Binomial Coefficients which are Divisible by their Row Number JO - Canadian mathematical bulletin PY - 1982 SP - 363 EP - 365 VL - 25 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-052-3/ DO - 10.4153/CMB-1982-052-3 ID - 10_4153_CMB_1982_052_3 ER -
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