Sequence of Palindromic Cubes
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Sequence
The sequence of positive integers whose cube is palindromic begins:
- $1, 2, 7, 11, 101, 111, 1001, 2201, 10 \, 001, 10 \, 101, \ldots$
This sequence is A002780 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Note that $2201$ is the smallest (and only one one known) which is itself non-palindromic.
The corresponding sequence of palindromic cubes begins:
- $1, 8, 343, 1331, 1 \, 030 \, 301, 1 \, 367 \, 631, 1 \, 003 \, 003 \, 001, 10 \, 662 \, 526 \, 601, 1 \, 000 \, 300 \, 030 \, 001, \ldots$
This sequence is A002781 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Also see
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $2201$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $10,662,526,601$