The next number in this series could be **66** using similar logic to the Fibonacci sequence.

In the Fibonacci sequence, the next term in the series is equal to the sum of the two past terms.

In the series you provided, 42 is equal to the sum of the two previous terms, i.e. 18 + 24 = 42. Therefore, using the same logic, to find the next term, we add the two terms behind this new term, 24 and 42. 24 + 42 = 66, so 66 is the next number in this series.
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