Definition:Perfect Digit-to-Digit Invariant/Sequence

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Sequence

The only known perfect digit-to-digit invariants are:

$0, 1, 3435, 438 \, 579 \, 088$

where, in this case, $0^0$ is taken to be $0$.

This sequence is A046253 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).