Required Tree Name

Please tell me the name of tree having minimum no. of nodes at height t.

eg:
if height t= 3
possible no. of nodes can be 3 , 4, 5 , 6 , 7

but for the min no. of in tree , we select 3.
b/c this tree contain min no. of nodes as compare to other(i.e 4,5,6,7)

So please tell me the name of that type tree.

sorry i have wrong question:

Please tell me the name of balance tree having minimum no. of nodes at height t.

eg:
if height t= 3
possible no. of nodes can be 3 , 4, 5 , 6 , 7

but for the min no. of in tree , we select 4.
b/c this tree contain min no. of nodes as compare to other(i.e 3,5,6,7)