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Date: 20-1-2020
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A number is called amenable if it can be built up from integers , , ..., by either addition or multiplication such that
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(Tamvakis 1995).
The solutions are the numbers such that or 1 (mod 4), excluding (Lossers 1998), giving 1, 5, 8, 9, 12, 13, 16, 17, ... (OEIS A100832). For example, 5 and 8 are amenable since
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REFERENCES:
Lossers, O. P. "Solution to Problem 10454. Amenable Numbers." Amer. Math. Monthly 105, 1998.
Sloane, N. J. A. Sequence A100832 in "The On-Line Encyclopedia of Integer Sequences."
Tamvakis, H. "Problem 10454." Amer. Math. Monthly 102, 463, 1995.
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