A226679 Record-breaking values, for increasing k = A226630(n), of the conjectured number of primitive cycles of positive integers under iteration by the Collatz-like 3x-k function.

3, 8, 35, 136, 171, 2908, 6326

Offset

1,1

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 k is odd.

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

Links

Table of n, a(n) for n=1..7.

Crossrefs

k = A226680(n).

Cf. A226629, A226663.

Sequence in context: A192212 A148918 A304726 * A216541 A347896 A194090

Adjacent sequences: A226676 A226677 A226678 * A226680 A226681 A226682

Keyword

nonn,more

Author

Geoffrey H. Morley, Jun 15 2013

Extensions

Definition clarified by Geoffrey H. Morley, Jun 23 2013

Status

approved