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amenable n.  and  tribonacci n.

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(max 15 digits)

First numbers that belong to both sets:

1, 13, 24, 44, 81, 149, 504, 1705, 3136, 5768, 10609, 19513, 66012, 223317, 410744, 755476, 1389537, 2555757, 8646064, 29249425, 53798080, 98950096, 181997601, 334745777.