Find the next term in this sequence: 4, 72, 652, ??

Question

Find the next term in the series- 0, 1, 2, 1, 1, 2, 3, 4, 5, 6, 24, ?

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Some tips:
1. It is related to one of 3 terms- 3,4 or 5
2. It is 3 digit number
3. 0=1, 1=1, 2=2

Answer 1

1352

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72=2*6^2, 652=2*16^2
2*26^2=1352