A226673 Conjectured record-breaking numbers of odd elements, for ascending positive integers k, in primitive cycles of positive integers under iteration by the Collatz-like 3x+k function.

1, 17, 18, 26, 41, 56, 74, 80, 89, 115, 126, 142, 215, 220, 256, 311, 387, 1000, 1136, 1146, 2253, 2292, 2590, 2937, 4971, 5326, 7157, 8294, 9920, 18862, 20429, 24842, 31913

Offset

1,2

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..33.

Crossrefs

k = A226674(n). The smallest integer in the T_k cycle associated with a(n) is A226675(n).

Cf. A226610, A226689.

Sequence in context: A084379 A018821 A255923 * A151978 A111054 A242975

Adjacent sequences: A226670 A226671 A226672 * A226674 A226675 A226676

Keyword

nonn

Author

Geoffrey H. Morley, Jun 19 2013

Status

approved