%I #10 Mar 04 2013 00:01:45
%S 0,1,13,3,11,10,45,7,43,9,41,11,27,38,145,15,35,34,69,19,43,30,137,23,
%T 63,25,9205,27,59,130,9201,31,67,33,125,35,75,50,265,39,9191,41,153,
%U 43,91,114,9185,47,99,49,181,51,107,9178,9177,55,139,57,245,100,123
%N Maximum deviation from n in Collatz trajectory of n.
%C Assuming Collatz trajectory ends with 1 and also a(1)=0.
%H T. D. Noe, <a href="/A213538/b213538.txt">Table of n, a(n) for n = 1..10000</a>
%e a(3)=13 because the number furthest to 3 in Collatz trajectory of 3 is 16.
%t Collatz[n_] := NestWhileList[If[EvenQ[#], #/2, 3 # + 1] &, n, # > 1 &]; Join[{0}, Table[Max[Rest[Abs[Collatz[n] - n]]], {n, 2, 100}]] (* _T. D. Noe_, Mar 04 2013 *)
%Y Cf. A070165.
%K nonn
%O 1,3
%A _Jayanta Basu_, Mar 03 2013
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