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A226678
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Smallest positive integer (or 0 if no such k) with conjecturally exactly n primitive cycles of positive integers under iteration by the Collatz-like 3x-k function.
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1
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11, 17, 1, 385, 131, 193, 641, 23, 217, 7775, 57095, 3689, 1163, 14185, 8533, 467, 46199, 20143, 87089, 15217, 973, 134809, 14279
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OFFSET
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1,1
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COMMENTS
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A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.
The 3x-k function T_k is defined by T_k(x) = x/2 if x is even, (3x-k)/2 if x is odd, where k is odd.
For primitive cycles, GCD(k,6)=1 and k is in A226630.
Conjecture: a(n)>0 for all n.
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LINKS
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CROSSREFS
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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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