A226630 Positive integers k with at least one primitive cycle of positive integers under iteration by the 3x-k function.

1, 11, 17, 19, 23, 25, 29, 31, 49, 77, 85, 95, 97, 113, 115, 119, 121, 131, 139, 145, 179, 181, 185, 193, 217, 311, 313, 371, 385, 407, 431, 451, 467, 473, 475, 485, 491, 493, 503, 527, 601, 605, 641, 695, 697, 791, 805, 847, 973, 1163, 1219, 1241, 1295, 1417

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. GCD(k,6)=1.

Links

Geoffrey H. Morley, Table of n, a(n) for n = 1..600

Crossrefs

Cf. A226633.

Sequence in context: A031329 A050658 A050891 * A061751 A063449 A157996

Adjacent sequences: A226627 A226628 A226629 * A226631 A226632 A226633

Keyword

nonn

Author

Geoffrey H. Morley, Jun 13 2013

Status

approved