We call this the Honey-Nut Cheerio Tree. The pods are sweet, good for you, and are similar to oats in nutrition. Your livestock will love them.
In all seriousness, few trees can top Honey Locust as better compliments to a pasture.
They fix nitrogen, have thin canopies that let lots of light through, and generously drop nutritious pods in the Fall. With these, you can have your pasture and eat pods, too!