The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A226631

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Length of the shortest primitive cycle(s) of positive integers under iteration by the 3x-k function, where k=A226630(n).
(history; published version)

#7 by T. D. Noe at Sat Jun 15 01:36:08 EDT 2013

STATUS

proposed

approved

#6 by Geoffrey H. Morley at Fri Jun 14 22:20:30 EDT 2013

STATUS

editing

proposed

#5 by Geoffrey H. Morley at Fri Jun 14 22:20:11 EDT 2013

LINKS

Geoffrey H. Morley, <a href="/A226631/b226631.txt">Table of n, a(n) for n = 1..600</a>

#4 by T. D. Noe at Fri Jun 14 11:25:02 EDT 2013

STATUS

proposed

editing

#3 by Geoffrey H. Morley at Fri Jun 14 02:06:14 EDT 2013

STATUS

editing

proposed

Discussion

Fri Jun 14

11:25

T. D. Noe: Same comment.

#2 by Geoffrey H. Morley at Fri Jun 14 00:18:00 EDT 2013

NAME

allocated for Geoffrey H. Morley

Length of the shortest primitive cycle(s) of positive integers under iteration by the 3x-k function, where k=A226630(n).

DATA

1, 4, 6, 17, 19, 34, 12, 9, 5, 22, 12, 17, 17, 69, 7, 18, 22, 38, 11, 12, 6, 68, 44, 30, 9, 19, 68, 14, 22, 44, 23, 30, 84, 8, 17, 17, 30, 12, 68, 18, 7, 22, 15, 22, 85, 10, 14, 22, 22, 10, 14, 18, 44, 12, 68, 22, 9, 38, 17, 14, 55, 8, 56, 50, 36, 44, 25, 37

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

<a href="/A226631/b226631.txt">Table of n, a(n) for n = 1..600</a>

FORMULA

a(n) = min_{j=A226628(n) to A226628(n+1)-1} A226625(j).

KEYWORD

allocated

nonn

AUTHOR

Geoffrey H. Morley, Jun 14 2013

STATUS

approved

editing

#1 by Geoffrey H. Morley at Thu Jun 13 17:46:47 EDT 2013

NAME

allocated for Geoffrey H. Morley

KEYWORD

allocated

STATUS

approved