From my experiments so far with n up to 2e10:

  1. The first missing value is tiny compared to the maximum observed number, so not much can be saved here.
  2. The observed numbers only cover 1/8 of the whole range, so we are dealing with a sparsely populated array in your proposal. This might not be the best way to store the sequence.
  3. The ratio of the maximum number to the sequence number is around 8:1 so not much to be gained here either.

In reply to Re^2: Recamán's sequence and memory usage by hdb
in thread Recamán's sequence and memory usage by Athanasius

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