A226681 Conjectured record-breaking maximal values, for ascending positive integers k, of the minimal elements of the primitive cycles of positive integers under iteration by the Collatz-like 3x-k function.

17, 19, 73, 115, 4819, 16099, 61555, 1457663, 3735185, 17904629, 21111517, 29931557, 222264329

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.

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

Links

Table of n, a(n) for n=1..13.

Crossrefs

k = A226682(n).

Cf. A226623, A226665.

Sequence in context: A075432 A232882 A232878 * A005808 A180559 A272478

Adjacent sequences: A226678 A226679 A226680 * A226682 A226683 A226684

Keyword

nonn

Author

Geoffrey H. Morley, Jun 16 2013

Status

approved