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This is a repeating pattern you will get if you add the digits of the squares of integers.
For cubes the pattern is 189189189
Fourth power is 179449719
Fifth power is 159729489
Sixth power is 119119119
Seventh power is 129459789 (Which is where the patterns begin to repeat. If you replaced 3 and 6 in this sequence you would have 123456789 which is the pattern of numbers to the first power. Since the sum of the digits of any number divisible by 3 is always 9 you never get back to the first power pattern.)
189189189
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