One for All; All for One

Algebra Level 4

Let gg be a function defined over all positive integers such that g(1)=1g(1) = 1 and k=1ng(k)=n2g(n)\displaystyle\sum_{k=1}^{n} g(k) = n^{2}g(n) for n2.n \ge 2.

If 2015g(2015)=ab,2015 \cdot g(2015) = \dfrac{a}{b}, where aa and bb are positive coprime integers, then find a+b.a + b.

×

Problem Loading...

Note Loading...

Set Loading...