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).
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $5$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5$