Well, there's not an easy way (without writing a script) to do either a .biom or a tab-delimited sort of excel file that includes the fasta sequences.
However, the rep_set.fna file has the representative sequence for each OTU, and the labels in that file match the OTU identifiers that are in the OTU table, so if you need to look up sequences for a few OTUs, you could just search for their ID in the rep_set.fna file, or by the command line with:
grep -A 1 xxx bbb
where xxx is the OTU ID
and bbb is the rep_set.fna file
to get the sequence for the particular OTU so you don't have to open a fasta file in a text editor, if that's inconvenient.