MathDB

N 8

Source:

May 25, 2007

Eulermodular arithmeticgeometrygeometric transformationrotationMore Sequences

Problem Statement

An integer sequence

\{a_{n}\}_{n \ge 1}

is given such that

2^{n}=\sum^{}_{d \vert n}a_{d}

for all

n \in \mathbb{N}

. Show that

a_{n}

is divisible by

n

for all

n \in \mathbb{N}