2021 Spring LMT Division B Problem 6
Source:
January 22, 2022
combinatorics
Problem Statement
Maisy is at the origin of the coordinate plane. On her first step, she moves unit up. On her second step, she moves unit to the right. On her third step, she moves units up. On her fourth step, she moves units to the right. She repeats this pattern with each odd-numbered step being unit more than the previous step. Given that the point that Maisy lands on after her st step can be written in the form , find the value of .Proposed by Audrey Chun