I see a pattern but I do not think it will help much.

My conjecture is that the sequence number (the BTC amount) simply states the number of random bits in the private key.

Check it out:

The 0.001 BTC output used a 1 bit key (already claimed obviously)

The 0.002 BTC output used a 2 bit key

The 0.003 BTC output used a 3 bit key

etc...

The 0.019 BTC output used a 19 bit key

So I would claim the next unclaimed output uses a 51 bit key.