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Find a linear bounded automaton that accepts the language $L = \{ a^{n!} : n \geq 0 \}$

I need to construct linear bounded automaton for the language $L = \{ a^{n!} : n \geq 0 \}$. I know how LBA functions, however, I don't have a thought how it can check the n! that to in the power of a …
Ajinkya Taranekar's user avatar