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This is actually two sequences staggered back and forth:

1 4 9 16 25

1 3 6 10

As you can see, the first sequence is a series of perfect squares, and the second sequence is a series with a rate of change that is increasing by increments of one.

The next number in the original sequence will be from the second series, making it 10 + 5, or 15. The sequence as a whole then continues like so:

1 1 4 3 9 6 16 10 25 15 36 21 49 28 64 36 81 45 100 ...

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12y ago
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Q: What number is next in the sequence1 1 4 3 9 6 16 10 25 15?
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