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A294689
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Collatz cycle of negative numbers starting with -17.
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0
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-17, -25, -37, -55, -82, -41, -61, -91, -136, -68, -34, -17, -25, -37, -55, -82, -41, -61, -91, -136, -68, -34, -17, -25, -37, -55, -82, -41, -61, -91, -136, -68, -34, -17, -25, -37, -55, -82, -41, -61, -91, -136, -68, -34
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OFFSET
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1,1
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COMMENTS
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This is the longest of the three known cycles of negative numbers under the reduced Collatz transformation x: x=x/2 when x is even, and x=(3x+1)/2 when x is odd. The other two cycles of negative numbers are (-1,-1,-1,...) and (-5,-7,-10,-5,-7,-10,...). Only one cycle of positive numbers is known: (1,2,1,2,...). (0,0,0,...) is also a cycle.
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LINKS
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FORMULA
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a(1) = -17, a(n+1) = -A123684(abs(a(n))).
a(n+11) = a(n).
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CROSSREFS
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Positive number transforms are in A014682; the absolute value of negative number transforms can be found in A123684.
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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