I know this as nandina, but not from my childhood, instead from my later nursery-working days out east of Portlandia. Turns out other names are heavenly or sacred bamboo. Note that the berries and all parts of the plant are toxic to birds and animals. The species is native to Eastern Asia. I rather liked nandina when I worked in Oregon for its leaf shapes and patterns, but I’m less interested now that I know more about it.