Around Tokyo, where you can enjoy nature

Okutama is close to Tokyo, where you can feel the nature. The area is well known for summer BBQs and playing by the river but it is also nice to visit in other seasons.
Starting with Mt. Ontakesan, pay a visit to Ontake shrine, then hike around the area if you still have time.
Next is Hatonosu Valley. There are some nice restaurants so it would be nice to visit around lunch time.