a(n) = lambda(lambda(n)), where lambda(n) is the Carmichael lambda function (A002322).
1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 4, 1, 2, 2, 2, 2, 4, 2, 6, 2, 2, 4, 10, 1, 4, 2, 6, 2, 6, 2, 4, 2, 4, 4
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Sun Nov 14 22:42:15 CET 2010 [seqfan] OEIS: what went wrong