[seqfan] Rewriting squares

[Jeremy Gardiner]

Beginning with a two-digit square, successively replace each digit with its
square, then repeat.

For example,
                                  9
                                 81
                                641
                              36161
                            9361361
                         8193619361
                    641819361819361
            36161641819361641819361
93613613616164181936136161641819361

The digits settle into a fixed sequence.

Reading from the right we have (with leading 1 in the case of 7 and 9)

6,3,9,1,8,1,4,6,1,6,1,6,3,1,6,3,1,6,3,9,1,6,3,9,1,6,3,9,1,8,1,6,3,9,1,8,1,6,
3,9,1,8,1,4,6,1,6,3,9,1,8,1,4,6,1,6,3,9,1,8, ...

or in the case of 25,

5,2,4,6,1,6,3,1,6,3,9,1,6,3,9,1,8,1,6,3,9,1,8,1,4,6,1,6,3,9,1,8,1,4,6,1,6,1,
6,3,1,6,3,9,1,8,1,4,6,1,6,1,6,3,1,6,3,1,6,3, ...

Is this interesting, or too artificial for OEIS?

Thanks,
Jeremy Gardiner