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1, 4, 16, 8, 18, 32, 2048, 9, 128, 512, 100, 256, 2147483648, 32768, 54, 64, 1200, 1024, 10616832, 144, 1048576, 864, 43200, 25, 65536, 8796093022208, 81, 4194304, 644972544, 131072, 7260, 36, 486, 75557863725914323419136, 268435456, 8192
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OFFSET
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1,2
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COMMENTS
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Conjugate the partition defined by the prime factorization of n (see, e.g., table A112798 or A241918), resulting k = A122111(n), then take the k-th odd number (2k-1), and conjugate again, giving a(n) = A122111(2k-1).
Thus after a(1)=1, this is a permutation of A070003 (numbers divisible by the square of their largest prime factor).
When A122111 is represented as a binary tree, then node A122111(t > 1) = n has as its left child A122111(2t-1) = a(n).
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LINKS
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FORMULA
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PROG
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(Scheme, two alternative definitions)
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CROSSREFS
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Cf. A070003 (same sequence without 1, sorted into ascending order).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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