These are the automorphic numbers, base 10. The square of each number has the original number as the least significant digits. E.g. 9376 * 9376 = 87909376
The next two values are 90625,109376.
See also http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A003226
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