What is the name of this Balanced Binary Tree?

Question

BBTHMNN(h) = Balanced Binary Tree Have Minimum Number Of Nodes

BBTHMNN(h) = BBTHMNN(h-1) + BBTHMNN(h-2) + 1

Name of the balanced binary tree which satisfying the above formula. I have searched all over the internet but I couldn't found the name of the tree

Answer 1

Kinda looks like the Fibonachi Series. Perhaps Fibonachi Tree?

Answer 2

Knowing that you can not have searched the entire internet, at least not properly, I'll point you to the simplest resource that may help you find better search terms for your question: Wikipedia.

A perfect binary tree is a full binary tree in which all leaves are at the same depth or same level.[3] (This is ambiguously also called a complete binary tree.)

A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.[4]

Answer 3

Your question isn't entirely clear to me, so I may be misunderstanding you here, but it sounds like you might be looking for an AVL tree. These often show up in homework as they were the first tree data structures.