julia> binomial(104,4)
4598126
julia> binomial(102,4)
4249575
That's a large number of 4-taxon sets. With a job scheduler like slurm, that would be asking for 4,249,575 jobs. Each one is for a single set of 4 taxa, but still.
In any case, I hope that having the correct number will help.
If your plan is to use the quartet concordance factors for downstream analyses, then I would suggest using the original alignments: without empty sequences for missing taxa. Otherwise, when reduced to a subset of 4 taxa, the alignment becomes non-informative if 1 (or more) of the 4 taxa has a missing sequence. The perl script
bucky-slurm.pl uses the subset of genes that have data for all 4 taxa, and ignores any gene that is missing 1 or more of the 4 taxa. (This set of genes will vary depending on the chosen 4-taxon set). If an empty sequence is included, the corresponding taxon will be in the sampled gene trees, and the script will think that the taxon did have a sequence.
I am afraid that 6 markers won't be enough to detect small amounts of gene flow (if that was your motivation for running the bucky*.pl script). Even 50-50 hybridization events might be hard to detect with confidence if there is a high level of incomplete lineage sorting on top.
Cheers,
Cecile.