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13 + 4^2 = 29

29 + 5^2 = 54

54 + 6^2 = 90

90 + 7^2 = 139

139 + 8^2 = 203

203 + 9^2 = 284

284 + 10^2 = 384

384 + 11^2 = 505

so the next three numbers in the sequence are 284, 384 and 505.

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