The sequence alternates between two patterns. The first pattern consists of the squares of integers: (3^2 = 9), (4^2 = 16) (not present), (5^2 = 25), and (6^2 = 36) (not present), suggesting the next square might be (6^2 = 36). The second pattern involves the numbers in between, specifically (4, 5, 20, 21), which seem to follow an increasing sequence. The next number in the series after 441 (which is (21^2)) could logically be 36, completing the alternating pattern.
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