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The question of finding the Minimal Addition Chain (MAC) for needed for Addition chain exponentiation seems to be NP-complete. As such, it would be nice to have a list for the small powers already computed. Wikipedia lists the MAC's for $n\le16$. I'm looking for the known MAC's for $n>16$.

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Maybe [reference-request] and [online-resources] tags are relevant. – Srivatsan Apr 3 '12 at 18:25
@Srivatsan Agreed and updated, didn't even know about those tags! – Hooked Apr 3 '12 at 18:34

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See https://oeis.org/A003313 and references there, in particular the table up to n=10001.

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This site about shortest addition chains lets you generate a shortest addition chain for any number < 2^27, and lists a lot of interesting properties and references about them.

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Thanks @DaveBall. Note that the reference is also in the OEIS link provided by RobertIsrael. – Hooked Apr 12 '12 at 14:15

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