math.CO/0409509 number 69

### What is the conjecture
Consider flips between the $d$-dimensional tilings of the unary zonotope $Z(D,d)$. Here the codimension $D-d$ is equal to 3 and $d$ varies. Then the number of flips is

$$
\begin{equation}a(d)=(d^2+11d+24)2^{d-1}. \end{equation}
$$

See https://oeis.org/A060621

### Prerequisites needed

Status: open

### Choose either option
- [ ] I plan on adding this conjecture to the repository
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else

Start with the conjecture statement in issue #1471 and OEIS A060621, then read existing conjecture formalizations in the repository to find the appropriate structure and conventions. Done means the stated flip-count formula for the unary zonotope is added as a Lean formalization and fits the repository's validation workflow.

Written by the indexing model from the issue text.