A226667 Conjectured record-breaking values, for ascending positive integers k, of the maximal element of the primitive cycles of positive integers under iteration by the Collatz-like 3x+k function.

1, 3397, 2277097, 106035623, 128946539, 153247321, 885327131, 6372904817, 52894692341, 95712964765, 301829916841, 1846456176103, 2697688935023, 10281192195005, 10556691785131, 13239192635131

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.

For primitive cycles, GCD(k,6)=1.

Crossrefs

k = A226668(n). The smallest integer in the T_k cycle associated with a(n) is A226669(n).

Cf. A226608, A226683.