A226632 Fewest odd numbers in a primitive cycle of positive integers under iteration by the 3x-k function, where k=A226630(n).

1, 3, 4, 11, 12, 22, 8, 6, 4, 14, 8, 11, 11, 44, 5, 12, 14, 24, 7, 8, 5, 43, 28, 19, 6, 12, 43, 10, 14, 28, 15, 20, 53, 6, 11, 11, 20, 8, 43, 12, 6, 14, 10, 14, 54, 8, 10, 14, 14, 7, 10, 12, 28, 9, 43, 14, 7, 25, 11, 10, 35, 7, 36, 32, 24, 28, 17, 24

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.

Links

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

Formula

a(n) = min_{j=A226628(n) to A226628(n+1)-1} A226626(j).

Crossrefs

Sequence in context: A228236 A344346 A047457 * A098377 A075646 A133621

Adjacent sequences: A226629 A226630 A226631 * A226633 A226634 A226635

Keyword

nonn

Author

Geoffrey H. Morley, Jun 14 2013

Status

approved