Automatically replicate table data into another table
You  can use triggers or replication,but replication will be a overkill for a single table..See below example for more details

Changes in Table A,should replicate to table B

CREATE TABLE [dbo].[a](
    [id] [int] NULL,
    [name] [char](2) NULL
) 

CREATE TABLE [dbo].[b](
    [id] [int] NULL,
    [name] [char](2) NULL
) 


Now create trigger which replicates only data changes

ALTER trigger [dbo].[trg_test]
on [dbo].[a]
for insert,update,delete
as 

begin

set nocount on


--updated
if exists(select 1 from inserted) and exists(select 1 from deleted)
begin

update b
set b.id=i.id,
    b.name=i.name
    from b
    join
    inserted i
    on b.id&lt;&gt;i.id and b.name&lt;&gt;i.name
    join deleted d
    on b.id=d.id and b.name=d.name
return

end

--inserted 
if exists(select 1 from inserted)
begin

insert into b
select * from inserted
end



--deleted
if exists(select 1 from deleted)
begin

delete b
from
deleted d
join
b
on b.id=d.id


end

end


now do some random datachanges

--inserts

    insert into a
    select 1,'d'
    union all
    select 3,'c'


--updates
update 
a
set id=4

--deletes
delete from a


you can check at each stage to see data replication to b