cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A226662 Smallest positive integer k (or 0 if no such k) with conjecturally exactly n primitive cycles of positive integers under iteration by the Collatz-like 3x+k function.

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%I A226662 #7 Jun 27 2013 12:06:28
%S A226662 1,11,23,29,5,247,47,229,13,361,359,517,481,1669,485,1843,295,269,233,
%T A226662 355,2509,1399,431,943,1991,4715,7469,3323,1753,2777,781,2347,1201,
%U A226662 4741,9233,12607,6559,6721,4879,2359,5531,1805,11773,11113,6755,8861,5897,30079
%N A226662 Smallest positive integer k (or 0 if no such k) with conjecturally exactly n primitive cycles of positive integers under iteration by the Collatz-like 3x+k function.
%C A226662 A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.
%C A226662 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, where k is odd.
%C A226662 For primitive cycles, GCD(k,6)=1.
%C A226662 Belaga and Mignotte (2000, p.19) conjectured that the number of primitive cycles attains all positive integer values.
%H A226662 Geoffrey H. Morley, <a href="/A226662/b226662.txt">Table of n, a(n) for n = 1..189</a>
%H A226662 E. G. Belaga and M. Mignotte, <a href="http://hal.archives-ouvertes.fr/hal-00129656">Cyclic Structure of Dynamical Systems Associated with 3x+d Extensions of Collatz Problem</a>, Preprint math. 2000/17, Univ. Louis Pasteur, Strasbourg (2000).
%Y A226662 Cf. A226613, A226678.
%K A226662 nonn
%O A226662 1,2
%A A226662 _Geoffrey H. Morley_, Jun 25 2013