The next number is... 30 because, each number is seven mire than the number to its left.
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The next number is 30+7 = 37.
16' then 25 and then 36 et.seq. The clue is 0,1,4,9,16,25,36, ... = 0^(2) , 1(2) , 2^(2), 3^(2) , 4^(2) , 5^(2) , 6^(2), ... n^(2) ...
These is the list of squares. 6^2=36 is the next number
32
The next number in the series 2-4-3-9-4 is 16. 2 squared is 4, 3 squared is 9, 4 squared is 16