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octagonal n.  and  palindromic n.

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(max 15 digits)

First numbers that belong to both sets:

1, 8, 8008, 120232021, 124060421, 161656161, 185464581, 544721127445, 616947749616, 3333169613333, 3333802083333, 6506939396056, 12212500521221.