[seqfan] Re: Numbers that are the sum of two taxicab numbers in more than one way

[Andrew Weimholt]

On Mon, Dec 16, 2013 at 7:43 AM, <franktaw at netscape.net> wrote:

> All right, what if we iterate this? Level 1 is the cubes, the smallest
> being 1 (or 0, if we allow that).
>
> Level 1 is the taxicab numbers, the smallest being 1729.
>
> Then we have Andrew's sequence, sums of two taxicab numbers  in more than
> one way.
>
> Next stop is sums of these numbers in more than one way.
>
> ...
>
> Now look for the smallest number at each level:
>
> 1, 1729, 485784, ... ?
>
>
>
The first few terms are

1, 1729, 485784, 2742194, 15552432, 35381216, 75530668, ...

Andrew