Problems & Puzzles: Puzzles

Puzzle 326. One more Firoozbakht curio sequence Faride Firoozbakht asks: What is the next term of the following sequence? 0=π(0!) 3=π(3!) 34=π(3!*4!) 52=π(5!*2!) 2800414=π(2!*8!*0!*0!*4!*1!*4!) ???

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