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EXAMPLE
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For n = 3:
- the first terms of A353709, alongside their Hamming weight, are:
k | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
A353709(k) | 0, 1, 2, 4, 8, 3, 16, 12, 32, 17, 6, 40, 64, 5, 10, 48, 65, 14
h(A353709(k)) | 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3
- the first term of A353709 with Hamming weight 3 is A353709(17) = 14,
- so a(3) = 17.
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