A103314 conjecture

[T. D. Noe]

At 12:58 PM -0400 5/19/05, David Wilson wrote:
>Right now, I am inclined to believe that if S is a zero-sum subset of the
>nth roots of 1, that n can be built up from (zero-sum) cyclically balanced
>subsets via the following operations:
>
>1.  A U B, where A and B are disjoint.
>2.  A - B, where B is a subset of A.
>
>If this were proved, it might allow us to make some headway against a
>general formula for A103314.
>
>Can anyone comment?

No comment on your proposal.  However, from the current terms, it appears that

a(3^n) = 2^(3^(n - 1))
a(5^n) = 2^(5^(n - 1))
a(6^n) = a(6)^(6^(n - 1)) = 10^(6^(n - 1))

Tony