MathDB

2

Part of 1992 Chile National Olympiad

Problems(1)

sum 1/P(C) , product of its elements (Chile NMO 1992 P2)

Source:

11/20/2021
For a finite set of naturals (C)(C), the product of its elements is going to be noted P(C)P(C). We are going to define P(ϕ)=1P (\phi) = 1. Calculate the value of the expression ∑C⊆{1,2,...,n}1P(C)\sum_{C \subseteq \{1,2,...,n\}} \frac{1}{P(C)}
number theoryalgebraSum