The number of possible heaps that are full binary trees of height $h$ and can be formed with ($n = 2^h - 1$) distinct elements can be computed by recursion: $$ a_h = {2^h - 2 \choose 2^{h - 1} - 1} a_{h - 1}^2 $$ How to compute the general term formula with this recursion formula?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.