MathDB

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

Source:

November 20, 2021

number theoryalgebraSum

Problem Statement

For a finite set of naturals

(C)

, the product of its elements is going to be noted

P(C)

. We are going to define

P (\phi) = 1

. Calculate the value of the expression

\sum_{C \subseteq \{1,2,...,n\}} \frac{1}{P(C)}