puzzling ?

[Edwin Clark]

On Sat, 13 May 2006, Emeric Deutsch wrote:

> Joshua has just extended A118467, namely
> Numbers n for which n, n^2 and n^3 have the same digital sum. 
> There are (so far?) only 7 terms, except for those obtained
> from these 7 by adding 0's at the end.
> These 7 terms are
> (*)    1, 468, 585, 5851, 5868, 28845, and 58968.
> Is it just a coincidence that 4 out of these start with 58 ?
> Joshua asks whether there are more terms in (*).


Here are the next two elements of the sequence.

21688965, 29588877