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A270429
Minimal total number of unit fractions required to sum up all fractions 1/n, 2/n, ..., n/n.
For n = 3: 1/3 and 3/3 = 1/1 are unit fractions themselves. 2/3 can be generated as the sum of two unit fractions: 1/2 + 1/6. This gives us a(3) = 1 + 2 + 1 = 4.