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