# [MATL], <s>28</s> 27 bytes

_Inspired by [Sanchises' answer](https://codegolf.stackexchange.com/a/187330/36398) to a loosely related challenge. I think the approach is also similar to that in [Jonah's answer](https://codegolf.stackexchange.com/a/251747/36398) to this challenge._

 JFF2Bli:"6Mh]htn:Eq*^YpYsXG

The output is rotated and reflected with respect to the examples.

[__Try it at MATL online!__][matlo]

The code plots more steps than necessary. With input `11` it gives _F_<sub>14</sub> as shown in the challenge (rotated and reflected):

[![enter image description here][1]][1]

[MATL]: https://github.com/lmendo/MATL
[matlo]: https://matl.io/?code=JFF2Bli%3A%226Mh%5Dhtn%3AEq%2a%5EYpYsXG&inputs=11&version=22.6.0


 [1]: https://i.sstatic.net/beQQC.png