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A226683
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Conjectured record-breaking values, for ascending positive integers k, of the maximal element of the primitive cycles of positive integers under iteration by the 3x-k function.
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4
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91, 179, 505, 31613, 74611, 1793597, 2571053, 2791627, 3714313409, 42325029259, 107340863887, 746389665271, 15138375216875
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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 GCD(k,6)=1.
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LINKS
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CROSSREFS
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k = A226684(n). The smallest integer in the T_k cycle associated with a(n) is A226685(n).
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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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