A226683 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.

91, 179, 505, 31613, 74611, 1793597, 2571053, 2791627, 3714313409, 42325029259, 107340863887, 746389665271, 15138375216875

Offset: 1

Author

Geoffrey H. Morley, Jun 15 2013

Keywords

• nonn

Comments

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.

Crossrefs

k = A226684(n). The smallest integer in the T_k cycle associated with a(n) is A226685(n).

Cf. A226624, A226667.