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It looks like the sequence containing only powers of two or three or both, excluding odd powers of two.

1 is 20 or 30 so it's included.

2 is 21 so it's not included.

3 is 31 so it's included.

4 is 22 so it's included.

5 is 51 so it's not included.

6 is 2131 so it's included.

And so on.

The next number should be 18.

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14y ago

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