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Jelly, 7 bytes *Ḃ×½ḞµƬ *Ḃ×½ḞµƬ *Ḃ input ^ (input % 2) ×½ multiply sqrt(input) Ḟ floor µƬ iterate until converged and collect results Try it online!
#1: Initial revision
# [Jelly], 7 bytes
*Ḃ×½ḞµƬ
```
*Ḃ×½ḞµƬ
*Ḃ input ^ (input % 2)
×½ multiply sqrt(input)
Ḟ floor
µƬ iterate until converged and collect results
```
[Try it online!][TIO-koeu086r]
[Jelly]: https://github.com/DennisMitchell/jelly
[TIO-koeu086r]: https://tio.run/##AS0A0v9qZWxsef//KuG4gsOXwr3huJ7Ctcas/8OH4oKs//9bMiwzLDQsNSw2LDcsOF0 "Jelly – Try It Online"
