[seqfan] Counting unique sums and products: A048249, A000325(?)

[Vladimir Reshetnikov]

Hello SeqFans,

If in the definition of the sequence http://oeis.org/A048249 (Number of
unique values produced from sums and products of n unity arguments) we
replace 'unity' with 'omega' (the first transfinite ordinal), does it
result in http://oeis.org/A000325 (2^n - n)? (a few first values suggest so)

Thanks,
Vladimir