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 A294689 Collatz cycle of negative numbers starting with -17. 0
 -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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Eric Weisstein's World of Mathematics, Collatz Problem Wikipedia, Collatz conjecture FORMULA a(1) = -17, a(n+1) = -A123684(abs(a(n))). a(n+11) = a(n). CROSSREFS Positive number transforms are in A014682; the absolute value of negative number transforms can be found in A123684. Sequence in context: A140609 A131275 A227238 * A263540 A183346 A166666 Adjacent sequences:  A294686 A294687 A294688 * A294690 A294691 A294692 KEYWORD sign,easy AUTHOR Joe Slater, Nov 07 2017 STATUS approved

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Last modified May 10 22:11 EDT 2021. Contains 343780 sequences. (Running on oeis4.)