Let's add

\[\dbinom{2016}{0}+\dbinom{2016}{4}+\dbinom{2016}{8}+\cdots +\dbinom{2016}{2016} = x+x^2.\]

If \(x = a^b\) for positive integers \(a\) and \(b\), find the smallest possible \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...