NEW ORLEANS (AP) — Despite the complexities of the nation’s worst economic downturn in decades, some Louisiana-based companies are showing surprising growth.The state recently has seen its count of homegrown Fortune 500 companies sprout to three: power provider Entergy Corp., engineering-construction company The Shaw Group Inc. and CenturyLink, the former CenturyTel Inc. that joined the list last summer with a canary-swallowing-the cat buyout of Embarq Corp.Contact The Daily Reveille’s news staff at [email protected]