Nope, this is not the one in Oregon! Yet another NW peak with a not-so-creative-name, Mt. Washington is a popular beginners climb fairly close to home. This climb can be combined into a longer day with a traverse of nearby Mt. Ellinor, another popular Mazama route.
A steep scramble up the other Mt. Washington. Wonderful views of the Olympics and Puget Sound reward those who reach it's summit.