What are :At First Syncronization" and "By Immediatly" in Replication Subscriber configuration
Immediately means that the snapshot will be delivered as soon as the distribution agent runs. There could be two conditions here. The first condition is you are using the immediate sync option AND the snapshot is already generated and kept up to date, or the snapshot has not been generated and you will need to generate it.
At first synchronization means that the snapshot is not been kept up to date and when you create your subscription you will need to create the snapshot then.
sp_helpsubscription
sp_helppublication
immediate_sync:Whether the synchronization files are created or re-created each time the Snapshot Agent runs.
http://blogs.msdn.com/b/repltalk/archive/2010/04/22/what-happens-if-i-select-create-a-snapshot-immediately-in-the-publication-wizard.aspx
http://msdn.microsoft.com/en-us/library/ms177171.aspx