Help correcting A003294 and A096739

[Martin Fuller]

SeqFans,

A003294 and A096739 have some obvious errors, but they may also be the same
sequence.  Can anyone help provide terms and/or decide whether they are
duplicates?

http://www.research.att.com/~njas/sequences/?q=id:A003294|id:A096739

The first error is that there are missing multiples, e.g. 1765 = 353*5.  Then
there is a typo in A096739 which has 5129 instead of 5729.  It looks like the
values have been brought together from several sources but not checked
carefully enough.

Are there any fourth power sums which involve repeated values?  If the answer
is proved to be no, then these sequences can be combined.

Martin Fuller