A185450 - OEIS

A185450

Define a map of the integers by T_k(i)=i/2 if i even, (3i+k)/2 if i odd; a(n) is the conjectured number of cycles for trajectories under this map in the case k = 5^n.

5, 10, 13, 17, 19, 21, 23

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OFFSET

0,1

COMMENTS

The values are only (strong) conjectures; showing that there are correct will be about as hard as solving the famous "3x+1" problem.

REFERENCES

J. C. Lagarias, ed., The Ultimate Challenge: The 3x+1 Problem, Amer. Math. Soc., 2010; see page 88.

LINKS

Table of n, a(n) for n=0..6.

Index entries for sequences related to 3x+1 (or Collatz) problem

CROSSREFS

Cf. A185451.

Sequence in context: A050127 A313385 A277269 * A072284 A242898 A230486

Adjacent sequences: A185447 A185448 A185449 * A185451 A185452 A185453

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 03 2011

STATUS

approved