The cartoon of a dog jumping could feature it jumping in a competition, trying to win a prize. Or perhaps it's jumping to escape from something scary. Maybe it's just jumping around joyfully for no particular reason, because dogs love to be active and playful.
The story might be about the adventures and challenges of a dog who becomes a king in a fictional world. Maybe it shows how he gains power and uses it to protect his kingdom.
Overall, the 'Ten Count' anime is quite faithful to the manga. Some visual elements might be tweaked for animation, but the core story and characters remain intact. There are also some added expressions and details to enhance the viewing experience.
Hentai manga is related to explicit and often inappropriate content. Nap, on the other hand, is a simple act of taking a rest or sleep for a short time. They belong to completely different domains with no direct connection.