It has been determined that there was an issue where players that logged in between 2AM and 10AM PST on 4/12 (April Update) did not receive their initial Sterling Treasure. This affected both players who logged into Destiny on their consoles and players who logged into their accounts on Bungie.net.

For those players affected, we are working on a fix targeted for Monday, April 18th (Hotfix 2.2.0.1.1 at approximately 10AM PST) that will allow affected players to have a limited-time window to retrieve their Sterling Treasure from the Postmaster. Affected players will ONLY have until the 04/19 Weekly Reset (2AM PST) to attain them. At 2AM PST, players will resume into a new weekly cycle, where players can log in and play the respective activities for additional free Sterling Treasures.

We’ll update you when we know more.

(Emphasis mine)