Definition:Automorphic Number/Sequence

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Sequence of Automorphic Numbers

The sequence of automorphic numbers begins as:

\(\ds 1\) \(:\) \(\ds 1^2\) \(\ds = 1\)
\(\ds 5\) \(:\) \(\ds 5^2\) \(\ds = 25\)
\(\ds 6\) \(:\) \(\ds 6^2\) \(\ds = 36\)
\(\ds 25\) \(:\) \(\ds 25^2\) \(\ds = 625\)
\(\ds 76\) \(:\) \(\ds 76^2\) \(\ds = 3776\)
\(\ds 376\) \(:\) \(\ds 376^2\) \(\ds = 141 \, 376\)
\(\ds 625\) \(:\) \(\ds 625^2\) \(\ds = 390 \, 625\)
\(\ds 9 \, 376\) \(:\) \(\ds 9 \, 376^2\) \(\ds = 87 \, 909 \, 376\)

This sequence is A003226 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


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