Mobius transform question

[Don Reble]

Seqfans:

    Given an integer sequence S, define a transformed sequence T:
	T(k) = S(k) / [ product(d divides k and d<k) T(d) ]
    (So log T is the Mobius transform of log S. Or maybe vice-versa.)

    T might be an integer sequence or not. Suppose
	S(a) divides S(ab)
    and
	(c coprime d) implies (S(c) coprime S(d)).
    Is that enough to imply that T is integers?

-- 
Don Reble  djr at nk.ca

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