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Jelly, 4 bytes
ŒḄ¡S
Try it online! or verify all test cases.
How it works
ŒḄ¡S Main link. Argument: n (integer)
ŒḄ Bounce; turn the list [a, b, ..., y, z] into [a, b, ..., y, z, y, ..., b, a].
This casts to range, so the first array to be bounced is [1, ..., n].
For example,...