MathDB

sum, floors

Source: APMC 2006, Problem 7

September 9, 2006

floor functionalgebra proposedalgebra

Problem Statement

Find all nonnegative integers

m,n

so that

\sum_{k=1}^{2^{m}}\lfloor \frac{kn}{2^{m}}\rfloor\in \{28,29,30\}