A bank called Skandiabanken in Norway now supports Bitcoin. However you cannot purchase the Bitcoins through the bank, you'll be redirected to Coinbase in order to buy.
I don't have this bank myself, so I cannot test this. It seems like it's just linked to Coinbase and the bank does not store the coins on their servers.
This feature is in a beta phase, and the laws in Norway could cause conflicts. I think this is a huge step, and I hope this will soon be supported in more banks. This feature is mainly for investors, you cannot use it to pay bills and such.
Very accurate when you call them bank support. With the information you give, this bank only links to coinbase and launches marketing systems to buy bitcoin for coinbase. This is only a form of bilateral cooperation.