Fix $x\ge2$ an even integer. Find the number of integers less than $x^2$ which are divisible by $x-1$ and do not contain any even digits in their base $x$ representation. (natural generalization of $x$)
Looks at paper and stares at "fix $x\ge2$", and wonders "then doesn't that mean it could be any number that approaches $+\infty$?"
Are there any ways to approach this? I tried to plug in values for $x$ and figure out a pattern but I really couldn't find any connection...
P.S. I am not really sure which tag should I label this question, since I couldn't find number base representation.