MathDB
2015-2016 Spring OMO #9

Source:

March 29, 2016
Online Math Open

Problem Statement

Let f(n)=1×3×5××(2n1)f(n)=1 \times 3 \times 5 \times \cdots \times (2n-1). Compute the remainder when f(1)+f(2)+f(3)++f(2016)f(1)+f(2)+f(3)+\cdots +f(2016) is divided by 100.100.
Proposed by James Lin