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A226681 Conjectured record-breaking maximal values, for ascending positive integers k, of the minimal elements of the primitive cycles of positive integers under iteration by the Collatz-like 3x-k function. 3

%I #8 Jun 18 2013 12:35:47

%S 17,19,73,115,4819,16099,61555,1457663,3735185,17904629,21111517,

%T 29931557,222264329

%N Conjectured record-breaking maximal values, for ascending positive integers k, of the minimal elements of the primitive cycles of positive integers under iteration by the Collatz-like 3x-k function.

%C A cycle is called primitive if its elements are not a common multiple of the elements of another cycle.

%C 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.

%C For primitive cycles, GCD(k,6)=1.

%Y k = A226682(n).

%Y Cf. A226623, A226665.

%K nonn

%O 1,1

%A _Geoffrey H. Morley_, Jun 16 2013

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Last modified July 13 13:53 EDT 2024. Contains 374284 sequences. (Running on oeis4.)